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MATHEMATICS (706 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: 7)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 15)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 27)
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: 9)
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: 6)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 18)
Advances in Decision Sciences     Open Access   (Followers: 3)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 13)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 2)
Advances in Materials Sciences     Open Access   (Followers: 14)
Advances in Mathematical Physics     Open Access   (Followers: 3)
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: 12)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 5)
Advances in Science and Research (ASR)     Open Access   (Followers: 4)
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: 11)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Algebra and Logic     Hybrid Journal   (Followers: 5)
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 Computational and Applied Mathematics     Open Access   (Followers: 5)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 6)
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: 8)
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: 4)
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: 12)
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)
ANZIAM Journal     Open Access   (Followers: 1)
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: 11)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 6)
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: 3)
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: 2)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access  
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: 6)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 4)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 2)
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: 11)
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 Symbolic Logic     Full-text available via subscription   (Followers: 2)
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 4)
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: 18)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 2)
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: 1)
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: 4)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 14)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 2)
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: 8)
Compositio Mathematica     Full-text available via subscription   (Followers: 1)
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: 5)
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: 8)
Concrete Operators     Open Access   (Followers: 5)
Confluentes Mathematici     Hybrid Journal  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 12)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 9)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 10)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 29)
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: 3)
Differentsial'nye Uravneniya     Open Access  
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae - General Algebra and Applications     Open Access  
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Diskretnaya Matematika     Full-text available via subscription  
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Akademii Nauk     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 Differential Equations     Open Access  
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: 4)

        1 2 3 4 | Last

Journal Cover Computational Methods and Function Theory
  [SJR: 0.329]   [H-I: 5]   [0 followers]  Follow
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 1617-9447 - ISSN (Online) 2195-3724
   Published by Springer-Verlag Homepage  [2352 journals]
  • Tightness Results for Infinite-Slit Limits of the Chordal Loewner Equation
    • Authors: Andrea del Monaco; Ikkei Hotta; Sebastian Schleißinger
      Pages: 9 - 33
      Abstract: In this note, we consider a multi-slit Loewner equation with constant coefficients that describes the growth of multiple SLE curves connecting N points on \(\mathbb {R}\) to infinity within the upper half-plane. For every \(N\in \mathbb {N}\) , this equation yields a measure-valued process \(t\mapsto \{\alpha _{N,t}\},\) and we are interested in the limit behaviour as \(N\rightarrow \infty .\) We prove tightness of the sequence \(\{\alpha _{N,t}\}_{N\in \mathbb {N}}\) under certain assumptions and address some further problems. Moreover, we investigate a similar situation in which all slits are trajectories of a certain quadratic differential.
      PubDate: 2018-03-01
      DOI: 10.1007/s40315-017-0205-3
      Issue No: Vol. 18, No. 1 (2018)
  • Determining Bounds on the Values of Parameters for a Function
           $$f^{(m,a)}(z) =\sum _{k=0}^\infty \frac{z^k}{a^{k^2}}(k!)^{m}, {m} \in
           (0,1),$$ f ( m , a ) ( z ) = ∑ k = 0 ∞ z k a k 2 ( k ! ) m , m ∈ ( 0
           , 1 ) , to Belong to the Laguerre–Pólya Class
    • Authors: Anton Bohdanov
      Pages: 35 - 51
      Abstract: We give explicit values of the parameters \(a>1\) and \(m \in (0,1)\) for which an entire function \(f^{(m,a)}(z)=\sum _{k=0}^\infty \frac{z^k}{a^{k^2}}(k!)^{m}\) belongs to the Laguerre–Pólya class. We also consider the values of parameters for which the Taylor sections of this function belong to the Laguerre–Pólya class.
      PubDate: 2018-03-01
      DOI: 10.1007/s40315-017-0210-6
      Issue No: Vol. 18, No. 1 (2018)
  • Logarithms and Exponentials in the Matrix Algebra $${\mathcal M}_2(A)$$ M
           2 ( A )
    • Authors: Raymond Mortini; Rudolf Rupp
      Pages: 53 - 87
      Abstract: It is well known that in the disk algebra \(A({ \mathbb D})\) every zero-free function has a logarithm in \(A({ \mathbb D})\) . This is no longer true if we look at invertible matrices over \(A({ \mathbb D})\) . In this paper, we give a sufficient condition on the trace of a \(2\times 2\) -matrix M so that \(M=e^L\) for some matrix \(L\in A({ \mathbb D})\) . We compute all the logarithms of the identity matrix in \({\mathcal M}_2(A({ \mathbb D}))\) and observe that the anti-diagonal elements can be arbitrarily prescribed. We also characterize those upper (or lower) triangular matrices which are exponentials in \({\mathcal M}_2(A({ \mathbb D}))\) and determine all their logarithms. This will enable us to prove that \(\exp {\mathcal M}_2(A({ \mathbb D}))\) is neither closed nor open within the principal component of \({\mathcal M}_2(A({ \mathbb D}))^{-1}\) . Finally, we show that every invertible matrix in \({\mathcal M}_2(A({ \mathbb D}))\) is a product of four exponential matrices and give conditions for reducing this number. These results will be put into the more general setting of commutative Banach algebras whenever possible.
      PubDate: 2018-03-01
      DOI: 10.1007/s40315-017-0209-z
      Issue No: Vol. 18, No. 1 (2018)
  • Root Sets of Polynomials and Power Series with Finite Choices of
    • Authors: Simon Baker; Han Yu
      Pages: 89 - 97
      Abstract: Given \(H\subseteq \mathbb {C}\) two natural objects to study are the set of zeros of polynomials with coefficients in H, $$\begin{aligned} \left\{ z\in \mathbb {C}: \exists k>0,\, \exists (a_n)\in H^{k+1}, \sum _{n=0}^{k}a_{n}z^n=0\right\} , \end{aligned}$$ and the set of zeros of a power series with coefficients in H, $$\begin{aligned} \left\{ z\in \mathbb {C}: \exists (a_n)\in H^{\mathbb {N}}, \sum _{n=0}^{\infty } a_nz^n=0\right\} . \end{aligned}$$ In this paper, we consider the case where each element of H has modulus 1. The main result of this paper states that for any \(r\in (1/2,1),\) if H is \(2\cos ^{-1}(\frac{5-4 r ^2}{4})\) -dense in \(S^1,\) then the set of zeros of polynomials with coefficients in H is dense in \(\{z\in {\mathbb {C}}: z \in [r,r^{-1}]\},\) and the set of zeros of power series with coefficients in H contains the annulus \(\{z\in \mathbb {C}: z \in [r,1)\}\) . These two statements demonstrate quantitatively how the set of polynomial zeros/power series zeros fill out the natural annulus containing them as H becomes progressively more dense.
      PubDate: 2018-03-01
      DOI: 10.1007/s40315-017-0215-1
      Issue No: Vol. 18, No. 1 (2018)
  • Radii Problems for Normalized Bessel Functions of First Kind
    • Authors: Nisha Bohra; V. Ravichandran
      Pages: 99 - 123
      Abstract: For three different normalizations of Bessel functions of first kind, the radius of k-parabolic starlikeness and k-uniform convexity of order \(\alpha \) are determined. The radius of strong starlikeness and other related radius are also obtained for these functions. We also find optimal parameters for which these functions are k-parabolic starlike and k-uniformly convex in the open unit disk.
      PubDate: 2018-03-01
      DOI: 10.1007/s40315-017-0216-0
      Issue No: Vol. 18, No. 1 (2018)
  • Brück Conjecture and Linear Differential Polynomials
    • Authors: Indrajit Lahiri; Shubhashish Das
      Pages: 125 - 142
      Abstract: In the paper we prove a uniqueness theorem for meromorphic functions that share a function of slower growth with linear differential polynomials. Our result is closely related to a conjecture of Brück.
      PubDate: 2018-03-01
      DOI: 10.1007/s40315-017-0214-2
      Issue No: Vol. 18, No. 1 (2018)
  • Distribution of Zeros for Random Laurent Rational Functions
    • Authors: Igor E. Pritsker
      Pages: 143 - 157
      Abstract: We study the asymptotic distribution of zeros for the random rational functions that can be viewed as partial sums of a random Laurent series. If this series defines a random analytic function in an annulus A, then the zeros accumulate on the boundary circles of A, being equidistributed in the angular sense, with probability 1. We also show that the equidistribution phenomenon holds if the annulus of convergence degenerates to a circle. Moreover, equidistribution of zeros still persists when the Laurent rational functions diverge everywhere, which is new even in the deterministic case. All results hold under two types of general conditions on random coefficients. The first condition is that the random coefficients are non-trivial i.i.d. random variables with finite \(\log ^+\) moments. The second condition allows random variables that need not be independent or identically distributed, but only requires certain uniform bounds on the tails of their distributions.
      PubDate: 2018-03-01
      DOI: 10.1007/s40315-017-0213-3
      Issue No: Vol. 18, No. 1 (2018)
  • Shimizu’s Lemma for Quaternionic Hyperbolic Space
    • Authors: Wensheng Cao; John R. Parker
      Pages: 159 - 191
      Abstract: We give a generalisation of Shimizu’s lemma to complex or quaternionic hyperbolic space in any dimension for groups of isometries containing an arbitrary parabolic map. This completes a project begun by Kamiya (Hiroshima Math J 13:501–506, 1983). It generalises earlier work of Kamiya, Inkang Kim and Parker. The analogous result for real hyperbolic space is due to Waterman (Adv Math 101:87–113, 1993).
      PubDate: 2018-03-01
      DOI: 10.1007/s40315-017-0212-4
      Issue No: Vol. 18, No. 1 (2018)
  • The Combined Coefficient Inequalities for Subordinate Functions
    • Authors: Jian-Lin Li
      Abstract: Let \(f(z)=\sum _{n=1}^{\infty }a_{n}z^{n}\) be a conformal mapping of the unit disk \({\mathbb {D}}\) onto a domain starlike with respect to the origin. In this note, we prove that if \(g(z)=\sum _{n=1}^{\infty }b_{n}z^{n}\) is analytic in \({\mathbb {D}}\) and is subordinate to f(z);  then, some coefficient inequalities involving \(a_{n}\) and \(b_{n}\) hold for all n. The results here extend the known results in a reasonable manner.
      PubDate: 2018-02-08
      DOI: 10.1007/s40315-018-0232-8
  • Koebe Spaces of Infinite Type
    • Authors: Masahiko Taniguchi
      Abstract: Let D be a Koebe circle domain in the complex plane of infinite type. We show that, when D is tame, D corresponds to an infinitely generated extended classical Schottky group G and the quasiconformal Koebe space of D can be identified with the quasiconformal deformation space of G. Moreover, when D also satisfies the boundedness conditions, we prove that the essential Teichmüller space of the G-orbit of \(\infty \) admits the complex analytic structure.
      PubDate: 2018-02-08
      DOI: 10.1007/s40315-018-0235-5
  • Weighted Remez- and Nikolskii-Type Inequalities on a Quasismooth Curve
    • Authors: Vladimir Andrievskii
      Abstract: We establish sharp \(L_p\) , \(1\le p<\infty \) , weighted Remez- and Nikolskii-type inequalities for algebraic polynomials considered on a quasismooth (in the sense of Lavrentiev) curve in the complex plane.
      PubDate: 2018-02-08
      DOI: 10.1007/s40315-018-0234-6
  • A Gromov Hyperbolic Metric vs the Hyperbolic and Other Related Metrics
    • Authors: Manas Ranjan Mohapatra; Swadesh Kumar Sahoo
      Abstract: We mainly consider two metrics: a Gromov hyperbolic metric and a scale-invariant Cassinian metric. We compare these two metrics and obtain their relationship with certain well-known hyperbolic-type metrics, leading to several inclusion relations between the associated metric balls.
      PubDate: 2018-02-07
      DOI: 10.1007/s40315-018-0233-7
  • About the Cover: Meromorphic Functions with Doubly Periodic Phase
    • Authors: Gunter Semmler; Elias Wegert
      Abstract: The phase plot of the function depicted on the cover of this volume is doubly periodic. In this expository paper, we discuss a canonical representation of all functions with doubly periodic phase (argument) in terms of the Weierstrass \(\sigma \) -function. In particular, we point out that the zeros and poles of such a function in a fundamental domain can be prescribed arbitrarily, with the only restriction that their total numbers (counting multiplicities) must coincide.
      PubDate: 2018-02-03
      DOI: 10.1007/s40315-018-0236-4
  • The Maximum Number of Zeros of $$r(z) - \overline{z}$$ r ( z ) - z ¯
    • Authors: Jörg Liesen; Jan Zur
      Abstract: Generalizing several previous results in the literature on rational harmonic functions, we derive bounds on the maximum number of zeros of functions \(f(z) = \frac{p(z)}{q(z)} - \overline{z}\) , which depend on both \(\mathrm{deg}(p)\) and \(\mathrm{deg}(q)\) . Furthermore, we prove that any function that attains one of these upper bounds is regular.
      PubDate: 2018-01-25
      DOI: 10.1007/s40315-017-0231-1
  • Uniform Approximation of Extremal Functions in Weighted Bergman Spaces
    • Authors: Timothy Ferguson
      Abstract: We discuss approximation of extremal functions by polynomials in the weighted Bergman spaces \(A^p_\alpha \) where \(-1< \alpha < \min (0,p-2)\) . We obtain bounds on how close the approximation is to the true extremal function in the \(A^p_\alpha \) and uniform norms. We also prove several results on the relation between the Bergman modulus of continuity of a function and how quickly its best polynomial approximants converge to it.
      PubDate: 2018-01-24
      DOI: 10.1007/s40315-017-0230-2
  • Lacunary Series in Dirichlet-Type Spaces and Pseudoanalytic Extension
    • Authors: Ruishen Qian; Songxiao Li
      Abstract: Under some mild conditions on the weight function \(\rho \) , we characterize lacunary series in Dirichlet-type spaces. Moreover, we also obtain a new characterization of Dirichlet-type spaces in terms of pseudoanalytic extension. Two applications are also given.
      PubDate: 2018-01-16
      DOI: 10.1007/s40315-017-0228-9
  • On the Fourth Coefficient of Functions in the Carathéodory Class
    • Authors: Oh Sang Kwon; Adam Lecko; Young Jae Sim
      Abstract: In the present paper, a formula for the fourth coefficient of Carathéodory functions was computed.
      PubDate: 2017-12-18
      DOI: 10.1007/s40315-017-0229-8
  • Analytic Semigroups of Holomorphic Mappings and Composition Operators
    • Authors: Mark Elin; David Shoikhet; Nikolai Tarkhanov
      Abstract: In this manuscript we provide a review on the classical and resent results related to the problem of analytic extension in parameter for a semigroup of holomorphic self-mappings of the unit ball in a complex Banach space and its relation to the linear continuous semigroup of composition operators.
      PubDate: 2017-12-08
      DOI: 10.1007/s40315-017-0227-x
  • On Some Riesz and Carleman Type Inequalities for Harmonic Functions in the
           Unit Disk
    • Authors: David Kalaj; Elver Bajrami
      Abstract: We prove some isoperimetric type inequalities for real harmonic functions in the unit disk belonging to the Hardy space \(h^p\) , \(p>1\) , and for complex harmonic functions in \(h^4\) . The results extend some recent results in the area. Further, we discuss some Riesz type results for holomorphic functions.
      PubDate: 2017-12-04
      DOI: 10.1007/s40315-017-0226-y
  • Erratum to: On the Characterisations of a New Class of Strong Uniqueness
           Polynomials Generating Unique Range Sets
    • Authors: Abhijit Banerjee; Sanjay Mallick
      PubDate: 2017-07-29
      DOI: 10.1007/s40315-017-0211-5
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