JournalTOCs

About Help News

VFAST Transactions on Mathematics
Number of Followers: 1

This is an Open Access Journal

Open Access journal
ISSN (Print) 2309-0022 - ISSN (Online) 2309-0022
Published by Virtual Foundation for Advancement of Science and Technology

[2 journals]

Upper Bound of the Third Hankel Determinant for a Subclass of Analytic
Functions Subordinate to Cosine Function
- Authors: Khurshid Ahmad, Serkan Araci, Mirajul Haq, Bilal Khan
  Abstract: In this paper, we define a new subclass of analytic functions involving the cosine functions. For this function class, we obtain the upper bound of the third Hankel determinant.
  PubDate: 2022-04-16
  Issue No: Vol. 9 (2022)
Exact solution of some non‎linear PDE‎$ ‎‎{s} $ ‎with‎
conformable fractional derivative
- Authors: Alireza Mohammadpour
  Abstract: ‎In this article‎, the reduced differential transform method is improved to solve some nonlinear conformable time fractional partial differential equations. The solutions obtained by the purposed methd to solve the Korteweg-de Vries equation, k(m,n) for ‎ m=n=2, and Wu-Zhang (2+1)-dimensional dispersive long wave equation, show that the method is very effective.
  PubDate: 2022-04-22
  Issue No: Vol. 1 (2022)
Upper Bound of the Third Hankel Determinant for a Subclass of Multivalent
Functions Associated with the Bernoulli Lemniscate
- Authors: Khalil Ullah, Jihad Younis, Khurshid Ahmad, A Manickam, Bilal Khan, Mirajul Haq
  Abstract: Let RL; SL and CL represent the families of multivalent bounded turning, multivalent starlike, and multivalent convex functions that are subordinated with Bernoulli lemniscate in the open unit disk E = {z : z <1}. In this particular paper, our goal is to find the upper bounds of Hankel’s third order determinant for the above-mentioned families.
  PubDate: 2021-12-31
  Issue No: Vol. 9 (2021)
Structures of Digraphs Arizing from Lambert Type Maps
- Authors: Tayyiba Sabahat, Sufyan Asif, Asif Abd ur Rehman
  Abstract: The Well-known function W eW is called Lambert Map. This map has been viewed by many researchers for finding the approximate solutions of exponential function especially in numerical analysis. Later, it has been incorporated in number theory for finding integral solutions of exponential congruences under a fixed modulus. Instead of WeW, we use the function W2 e W and call this function as Discrete Lambert Type Function (DLTF). In this work, we produce graphs using DLTF, and discuss their structures. We show that the digraphs over DLTF satisfy many structures as these have been followed for using WeW. It would be of great interest, if these results could be generalized for WeWfor all integers n, in the future.
  PubDate: 2021-12-31
  Issue No: Vol. 9 (2021)
A Study of Fourth Hankel Determinant of Certain Analytic Function
- Authors: Neelam Khan, Nazar Khan, Basem Aref Frasin, Mirajul Haq, Bilal Khan
  Abstract: The main motive of this paper is to …nd an upper bound of the fourth Hankel determinant H 4;1 (f) for a subclass S; with hyperbolic domain.
  PubDate: 2021-12-31
  Issue No: Vol. 9 (2021)
Upper Bound Sequences of Rotationally Symmetric Triangular Prism
Constructed as Halin Graph Using Local Fractional Metric Dimension
- Authors: Mamoona Farooq, Asif Abd ul Rehman, M. Khalid Mahmood, Daud Ahmad
  Abstract: In this paper, we consider rotationally symmetric traingular planar network with possible planar symmetries. We ﬁnd local fractional metric dimension of planar symmetries. The objective is to search sequences of local fractional metric dimension of triangular prism planar networks by joining diﬀerent copies. We propose and prove generalized formulas of all sequences for local fractinal metric
  dimension over triangular prism.
  PubDate: 2021-12-31
  Issue No: Vol. 9 (2021)
On Fixed Points of Digraphs Over Lambert Type Map
- Authors: Tayyiba Sabahat, Sufyan Asif, Asif Abd ur Rehman
  Abstract: Define f(y)=y2hy where h belongs to (Z/mZ), the Discrete Lambert Type Map (DLTM). For a set of vertices and edges over DLTM, diagraphs are obtained in which the vertices are from a whole range of residues modulo a fixed integer s, and edges are obtained when f (y) ≡ v(modsK) is solvable in Y and in terms of Diophantine equation as well. In this paper we proposed new results for for fixed point of digraphs over DLTM.
  PubDate: 2021-12-31
  Issue No: Vol. 9 (2021)

JournalTOCs
School of Mathematical and Computer Sciences
Heriot-Watt University
Edinburgh, EH14 4AS, UK
Email: journaltocs@hw.ac.uk
Tel: +00 44 (0)131 4513762

Your IP address: 35.172.223.251

Home (Search)
API
About JournalTOCs
News (blog, publications)