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Journals
Axioms
Special Issues
Recent Advances in Complex Analysis and Related Topics
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Recent Advances in Complex Analysis and Related Topics

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".

Deadline for manuscript submissions: 31 December 2024 | Viewed by 520

Special Issue Editor

Prof. Dr. Andriy Bandura

E-Mail Website
Guest Editor
Department of Advanced Mathematics, Ivano-Frankivsk National Technical University of Oil and Gas, 76019 Ivano-Frankivsk, Ukraine
Interests: entire function; meromorphic function; analytic function; growth estimates; bounded index; bounded index in a direction; bounded index in joint variables; slice holomorphic function; unit ball; polydisc; vector-valued analytic function; unit disc; Reinhardt domain; value distribution; Fueter regular function; regular quaternionic function
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

We have the intention of launching this Special Issue of Axioms. The central topic in this Special Issue will be complex analysis and its applications. We aim to give an opportunity to showcase recent contributions in the many branches of both theoretical and practical studies in complex analysis and its extensions and generalizations. Modern complex analysis is useful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics, approximation theory, ordinary and partial differential equations, and their systems. Complex analysis also has many applications in engineering fields and physics.

Among the topics that this Special Issue will address, we may consider the following non-exhaustive list: analytic functions; applications of complex analysis; the analytic theory of differential equations; the geometric function theory; Dirichlet series; and meromorphic functions.

The Special Issue is open to receiving further related topics of complex analysis.

In the hopes that this initiative is of interest, we encourage you to submit your current original research paper to be included in this Special Issue.

This Special Issue is a continuation of two previous successful Special Issues:

(1) Honorary Special Issue dedicated to Prof. Anatolii Asirovich Gol’dberg (1930–2008)
https://www.mdpi.com/journal/axioms/special_issues/8YL0K99FO3

(2) Complex analysis
https://www.mdpi.com/journal/axioms/special_issues/complex_analysis

Prof. Dr. Andriy Bandura
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • entire functions of several variables
  • analytic functions of several variables
  • growth estimates
  • applications of complex analysis
  • unit ball
  • unit polydisc
  • Reinhardt domain
  • geometric function theory
  • meromorphic functions
  • regular functions
  • Nevanlinna theory
  • Dirichlet series
  • slice holomorphic functions
  • entire curves
  • vector-valued entire functions

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Published Papers (1 paper)

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Research

23 pages, 354 KiB  
Article
Sharp Coefficient Bounds for Starlike Functions Associated with Cosine Function
by Rashid Ali, Mohsan Raza and Teodor Bulboacă
Axioms 2024, 13(7), 442; https://doi.org/10.3390/axioms13070442 - 29 Jun 2024
Viewed by 343
Abstract
Let Scos* denote the class of normalized analytic functions f in the open unit disk D satisfying the subordination zf′(z)f(z)≺cosz. In the first result of this article, we [...] Read more.
Let Scos* denote the class of normalized analytic functions f in the open unit disk D satisfying the subordination zf′(z)f(z)≺cosz. In the first result of this article, we find the sharp upper bounds for the initial coefficients a3, a4 and a5 and the sharp upper bound for module of the Hankel determinant |H2,3(f)| for the functions from the class Scos*. The next section deals with the sharp upper bounds of the logarithmic coefficients γ3 and γ4. Then, in addition, we found the sharp upper bound for H2,2Ff/2. To obtain these results we utilized the very useful and appropriate Lemma 2.4 of N.E. Cho et al. [Filomat 34(6) (2020), 2061–2072], which gave a most accurate description for the first five coefficients of the functions from the Carathéodory’s functions class, and provided a technique for finding the maximum value of a three-variable function on a closed cuboid. All the maximum found values were checked by using MAPLE™ 2016 computer software, and we also found the extremal functions in each case. All of our most recent results are the best ones and give sharp versions of those recently published in [Hacet. J. Math. Stat. 52, 596–618, 2023]. Full article
(This article belongs to the Special Issue Recent Advances in Complex Analysis and Related Topics)
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