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  Subjects -> MATHEMATICS (Total: 888 journals)
    - APPLIED MATHEMATICS (73 journals)
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    - MATHEMATICS (658 journals)
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MATHEMATICS (658 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 4)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 3)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 8)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 25)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 11)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 8)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 15)
Advances in Decision Sciences     Open Access   (Followers: 5)
Advances in Difference Equations     Open Access   (Followers: 2)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 10)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 2)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 5)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 4)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 9)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Algebra and Logic     Hybrid Journal   (Followers: 4)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 7)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 3)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 11)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription  
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 7)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 1)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 4)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 1)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 20)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 2)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access  
Baltic International Yearbook of Cognition, Logic and Communication     Open Access  
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 1)
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 21)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 9)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 20)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 3)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 4)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 5)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 28)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 2)
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Eco Matemático     Open Access  
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 3)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 5)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 5)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 4)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 4)

        1 2 3 4 | Last

Journal Cover Advances in Applied Clifford Algebras
  [SJR: 0.319]   [H-I: 15]   [3 followers]  Follow
    
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 1661-4909 - ISSN (Online) 0188-7009
   Published by Springer-Verlag Homepage  [2352 journals]
  • Quaternionic Shape Operator
    • Authors: Selahattin Aslan; Yusuf Yaylı
      Pages: 2921 - 2931
      Abstract: The shape operator is one of the most important research tools in differential geometry of surfaces. It uses the tangent vectors on the surface, extensively the tangent vectors of the parameter curves on the surface, and the normal vectors of the surfaces. Quaternions have the practical method in the rotation in the Euclidean 3-space. The main goal of our paper is to use quaternions in the research of the surfaces. Firstly, we have given the shape operator with Darboux frame along the curve in the surface. Then, the quaternionic shape operator is defined by the quaternion. Also, we have obtained some results related to the quaternionic shape operator and its matrix representation.
      PubDate: 2017-12-01
      DOI: 10.1007/s00006-017-0804-0
      Issue No: Vol. 27, No. 4 (2017)
       
  • General Solution of the Inhomogeneous Div-Curl System and Consequences
    • Authors: Briceyda B. Delgado; R. Michael Porter
      Pages: 3015 - 3037
      Abstract: We consider the inhomogeneous div-curl system (i.e. to find a vector field with prescribed div and curl) in a bounded star-shaped domain in \(\mathbb {R}^3\) . An explicit general solution is given in terms of classical integral operators, completing previously known results obtained under restrictive conditions. This solution allows us to solve questions related to the quaternionic main Vekua equation \(DW=(Df/f)\overline{W}\) in \(\mathbb {R}^3\) , such as finding the vector part when the scalar part is known. In addition, using the general solution to the div-curl system and the known existence of the solution of the inhomogeneous conductivity equation, we prove the existence of solutions of the inhomogeneous double curl equation, and give an explicit solution for the case of static Maxwell’s equations with only variable permeability.
      PubDate: 2017-12-01
      DOI: 10.1007/s00006-017-0805-z
      Issue No: Vol. 27, No. 4 (2017)
       
  • Modeling 3D Geometry in the Clifford Algebra R (4, 4)
    • Authors: Juan Du; Ron Goldman; Stephen Mann
      Pages: 3039 - 3062
      Abstract: We flesh out the affine geometry of \({{\mathbb {R}}^3}\) represented inside the Clifford algebra \({\mathbb {R}}(4,4)\) . We show how lines and planes as well as conic sections and quadric surfaces are represented in this model. We also investigate duality between different representations of points, lines, and planes, and we show how to represent intersections between these geometric elements. Formulas for lengths, areas, and volumes are also provided.
      PubDate: 2017-12-01
      DOI: 10.1007/s00006-017-0798-7
      Issue No: Vol. 27, No. 4 (2017)
       
  • 3-ary Hom-Lie Superalgebras Induced By Hom-Lie Superalgebras
    • Authors: Baoling Guan; Liangyun Chen; Bing Sun
      Pages: 3063 - 3082
      Abstract: The purpose of this paper is to study the relationships between a Hom-Lie superalgebra and its induced 3-ary-Hom-Lie superalgebra. We provide an overview of the theory and explore the structure properties such as ideals, center, derived series, solvability, nilpotency, central extensions, and the cohomology.
      PubDate: 2017-12-01
      DOI: 10.1007/s00006-017-0801-3
      Issue No: Vol. 27, No. 4 (2017)
       
  • On Weak Solutions to Dirac-Harmonic Equations for Differential Forms
    • Authors: Yueming Lu
      Pages: 3167 - 3181
      Abstract: In this paper, we consider the Dirac-harmonic equations for differential forms with Dirichlet boundary data in weak sense. Using the Hodge-decomposition theory of differential forms and Browder–Minty theory of monotone operators, the existence is obtained. According to the Poincaré-type inequality of Dirac–Sobolev space, we get the higher integrability.
      PubDate: 2017-12-01
      DOI: 10.1007/s00006-017-0802-2
      Issue No: Vol. 27, No. 4 (2017)
       
  • A Constraint System of Generalized Sylvester Quaternion Matrix Equations
    • Authors: Abdur Rehman; Qing-Wen Wang; Ilyas Ali; Muhammad Akram; M. O. Ahmad
      Pages: 3183 - 3196
      Abstract: By keeping in mind the great number of applications of generalized Sylvester matrix equations in systems and control theory, in this paper we establish some necessary and sufficient conditions for the solvability to a system of eight generalized Sylvester matrix equations over the quaternion algebra. The general solution to this system is also constructed when it is solvable. Moreover, an algorithm and a numerical example are also given to make the results of this paper more practical in various fields of engineering. The findings of this paper generalize previous results in the literature.
      PubDate: 2017-12-01
      DOI: 10.1007/s00006-017-0803-1
      Issue No: Vol. 27, No. 4 (2017)
       
  • $$\varvec{\sigma }$$ σ -PBW Extensions of Skew Armendariz Rings
    • Authors: Armando Reyes; Héctor Suárez
      Pages: 3197 - 3224
      Abstract: The aim of this paper is to investigate a general notion of \(\sigma \) -PBW extensions over Armendariz rings. As an application, the properties of Baer, quasi-Baer, p.p., and p.q.-Baer are established for these extensions. We generalize several results in the literature for Ore extensions of injective type and skew PBW extensions.
      PubDate: 2017-12-01
      DOI: 10.1007/s00006-017-0800-4
      Issue No: Vol. 27, No. 4 (2017)
       
  • Bicomplex Harmonic and Isotonic Oscillators: The Excited States
    • Authors: Abhijit Banerjee
      Pages: 2321 - 2332
      Abstract: We investigate the complete analytical solutions of quantum mechanical harmonic and isotonic oscillators formulated in the commutative ring of bicomplex numbers. We obtain the explicit closed form expressions for the excited eigenstates and corresponding energy eigenvalues associated with the harmonic and isotonic oscillator potentials by extending the formalism adopted in Banerjee (Ann Phys 377:493, 2017) recently to find the analytical closed form solutions for ground states.
      PubDate: 2017-09-01
      DOI: 10.1007/s00006-017-0772-4
      Issue No: Vol. 27, No. 3 (2017)
       
  • Erratum to: Some Matrix Representations of Fibonacci Quaternions and
           Octonions
    • Authors: Serpil Halici; Adnan Karataş
      Pages: 2899 - 2900
      PubDate: 2017-09-01
      DOI: 10.1007/s00006-017-0792-0
      Issue No: Vol. 27, No. 3 (2017)
       
  • General Dynamics of Spinors
    • Authors: Luca Fabbri
      Abstract: In this paper, we consider a general twisted-curved space-time hosting Dirac spinors and we take into account the Lorentz covariant polar decomposition of the Dirac spinor field: the corresponding decomposition of the Dirac spinor field equation leads to a set of field equations that are real and where spinorial components have disappeared while still maintaining Lorentz covariance. We will see that the Dirac spinor will contain two real scalar degrees of freedom, the module and the so-called Yvon–Takabayashi angle, and we will display their field equations. This will permit us to study the coupling of curvature and torsion respectively to the module and the YT angle.
      PubDate: 2017-10-16
      DOI: 10.1007/s00006-017-0816-9
       
  • Novel Sampling Formulas Associated with Quaternionic Prolate Spheroidal
           Wave functions
    • Authors: Dong Cheng; Kit Ian Kou
      Abstract: The Whittaker–Shannon–Kotel’nikov (WSK) sampling theorem provides a reconstruction formula for the bandlimited signals. In this paper, a novel kind of the WSK sampling theorem is established by using the theory of quaternion reproducing kernel Hilbert spaces. This generalization is employed to obtain the novel sampling formulas for the bandlimited quaternion-valued signals. A special case of our result is to show that the 2D generalized prolate spheroidal wave signals obtained by Slepian can be used to achieve a sampling series of cube-bandlimited signals. The solutions of energy concentration problems in quaternion Fourier transform are also investigated.
      PubDate: 2017-10-11
      DOI: 10.1007/s00006-017-0815-x
       
  • Free Fermions on a Piecewise Linear Four-Manifold. II: Pachner Moves
    • Authors: I. G. Korepanov
      Abstract: This is the second in a series of papers where we construct an invariant of a four-dimensional piecewise linear manifold M with a given middle cohomology class \(h\in H^{2}(M,\mathbb C)\) . This invariant is the square root of the torsion of unusual chain complex introduced in Part I of our work, multiplied by a correcting factor. Here we find this factor by studying the behavior of our construction under all four-dimensional Pachner moves, and show that it can be represented in a multiplicative form: a product of same-type multipliers over all 2-faces, multiplied by a product of same-type multipliers over all pentachora.
      PubDate: 2017-10-03
      DOI: 10.1007/s00006-017-0811-1
       
  • On an Intrinsically Local Gauge Symmetric $$\mathbf {SU(3)}$$ SU ( 3 )
           Field Theory for Quantum Chromodynamics
    • Authors: Brian Jonathan Wolk
      Abstract: The \(SU(3)_{c}\) gauge theory for eight massless vector gauge fields is assimilated into the formalism which generated the intrinsic local gauge invariant U(1) and \(SU(2)_{L}\) theories [30, 31], thus establishing the theoretical structure for intrinsically local gauge invariant quantum chromodynamics. Use is made of both the standard and split algebra of the octonions, the last of the Hurwitz algebras, in devising the technology. Numerous interesting results are obtained, including an explanation of the inherently non-chiral nature of the strong and electromagnetic interactions in contradistinction to the weak interaction. The formalism’s novelty and universality compels contemplation of its potential ability to assimilate the gravitational interaction as well.
      PubDate: 2017-09-22
      DOI: 10.1007/s00006-017-0812-0
       
  • Investigation of Dual-Complex Fibonacci, Dual-Complex Lucas Numbers and
           Their Properties
    • Authors: Mehmet Ali Güngör; Ayşe Zeynep Azak
      Abstract: In this study, we define the dual complex Fibonacci and Lucas numbers. We give the generating functions and Binet formulas for these numbers. Moreover, the well-known properties e.g. Cassini and Catalan identities have been obtained for these numbers.
      PubDate: 2017-09-15
      DOI: 10.1007/s00006-017-0813-z
       
  • A New $$\frac{1}{2}$$ 1 2 -Ricci Type Formula on the Spinor Bundle and
           Applications
    • Authors: Ioannis Chrysikos
      Abstract: Consider a Riemannian spin manifold \((M^{n}, g)\) \((n\ge 3)\) endowed with a non-trivial 3-form \(T\in \Lambda ^{3}T^{*}M\) , such that \(\nabla ^{c}T=0\) , where \(\nabla ^{c}:=\nabla ^{g}+\frac{1}{2}T\) is the metric connection with skew-torsion T. In this note we introduce a generalized \(\frac{1}{2}\) -Ricci type formula for the spinorial action of the Ricci endomorphism \({{\mathrm{Ric}}}^{s}(X)\) , induced by the one-parameter family of metric connections \(\nabla ^{s}:=\nabla ^{g}+2sT\) . This new identity extends a result described by Th. Friedrich and E. C. Kim, about the action of the Riemannian Ricci endomorphism on spinor fields, and allows us to present a series of applications. For example, we describe a new alternative proof of the generalized Schrödinger–Lichnerowicz formula related to the square of the Dirac operator \(D^{s}\) , induced by \(\nabla ^{s}\) , under the condition \(\nabla ^{c}T=0\) . In the same case, we provide integrability conditions for \(\nabla ^{s}\) -parallel spinors, \(\nabla ^{c}\) -parallel spinors and twistor spinors with torsion. We illustrate our conclusions for some non-integrable structures satisfying our assumptions, e.g. Sasakian manifolds, nearly Kähler manifolds and nearly parallel \(\hbox {G}_2\) -manifolds, in dimensions 5, 6 and 7, respectively.
      PubDate: 2017-09-12
      DOI: 10.1007/s00006-017-0810-2
       
  • On k -Analytic Functions of an Octonionic Variable
    • Authors: Jianquan Liao; Xingmin Li
      Abstract: A theory of k-analytic functions on octonions is established. The Cauchy integral formulas, Taylor series and Laurent series for the k-analytic functions are given. Moreover, we obtain the orthogonality relations for the basis of k-analytic functions.
      PubDate: 2017-09-08
      DOI: 10.1007/s00006-017-0807-x
       
  • Uncertainty Principle and Phase–Amplitude Analysis of Signals on the
           Unit Sphere
    • Authors: Pei Dang; Tao Qian; Qiuhui Chen
      Abstract: This paper is devoted to studying uncertainty principle of Heisenberg type for signals on the unit sphere in the Clifford algebra setting. In the Clifford algebra setting we propose two forms of uncertainty principle for spherical signals, of which both correspond to the strongest form of uncertainty principle for periodic signals. The lower-bounds of the proven uncertainty principles are in terms of a scalar-valued phase derivative.
      PubDate: 2017-09-06
      DOI: 10.1007/s00006-017-0808-9
       
  • Poincaré–Bertrand and Hilbert formulas for the
           Cauchy–Cimmino singular integrals
    • Authors: Juan Bory Reyes; Ricardo Abreu Blaya; Marco Antonio Pérez-de la Rosa; Baruch Schneider
      Abstract: The Cimmino system offers a natural and elegant generalization to four-dimensional case of the Cauchy–Riemann system of first order complex partial differential equations. Recently, it has been proved that many facts from the holomorphic function theory have their extensions onto the Cimmino system theory. In the present work a Poincaré–Bertrand formula related to the Cauchy–Cimmino singular integrals over piecewise Lyapunov surfaces in \(\mathbb {R}^4\) is derived with recourse to arguments involving quaternionic analysis. Furthermore, this paper obtains some analogues of the Hilbert formulas on the unit 3-sphere and on the 3-dimensional space for the theory of Cimmino system.
      PubDate: 2017-09-06
      DOI: 10.1007/s00006-017-0809-8
       
  • On Hermitian Solutions of the Split Quaternion Matrix Equation
           $$AXB+CXD=E$$ A X B + C X D = E
    • Authors: Shi-Fang Yuan; Qing-Wen Wang; Yi-Bin Yu; Yong Tian
      Abstract: In this paper, we discuss Hermitian solutions of split quaternion matrix equation \(AXB+CXD=E,\) where X is an unknown split quaternion Hermitian matrix, and A, B, C, D, E are known split quaternion matrices with suitable size. The objective of this paper is to establish a necessary and sufficient condition for the existence of a solution and a solution formulas. Moreover, we provide numerical algorithms and numerical examples to exemplify the results.
      PubDate: 2017-09-02
      DOI: 10.1007/s00006-017-0806-y
       
  • Preface for Special Issue on Geometric Algebra in Computer Science and
           Engineering
    • Authors: Dietmar Hildenbrand; Eckhard Hitzer; George Papagiannakis
      PubDate: 2017-07-15
      DOI: 10.1007/s00006-017-0799-6
       
 
 
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