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Axioms
Special Issues
Advances in Complex Analysis and Geometric Function Theory with Applications
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Advances in Complex Analysis and Geometric Function Theory with Applications

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Geometry and Topology".

Deadline for manuscript submissions: closed (30 June 2024) | Viewed by 4896

Special Issue Editors

Prof. Dr. Jin-Lin Liu

E-Mail Website
Guest Editor
Department of Mathematics, Yangzhou University, Yangzhou 225002, China
Interests: geometric function theory; complex analysis; special classes of univalent functions
Prof. Dr. Hari Mohan Srivastava

grade E-Mail Website
Guest Editor
Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
Interests: real and complex analysis; fractional calculus and its applications; integral equations and transforms; higher transcendental functions and their applications; q-series and q-polynomials; analytic number theory; analytic and geometric Inequalities; probability and statistics; inventory modeling and optimization
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The current Special Issue, “Advances in Complex Analysis and Geometric Function Theory with Applications”, aims to publish new and modern results in the field of the theory of functions of a complex variable, and the theory of univalent and multivalent functions. The presentation of results obtained using any other techniques which can be applied in the field of complex analysis and its applications is welcome. We do hope that the distinctive aspects of the issue will bring the reader close to the subject of current research and leave the way open for a more direct and less ambivalent approach to the topic.

We look forward to your contributions to this Special Issue.

Prof. Dr. Jin-Lin Liu
Prof. Dr. Hari Mohan Srivastava
Guest Editors

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

  • analytic functions
  • univalent functions and multivalent functions
  • harmonic functions
  • subordination and superordination
  • q-calculus and their applications in geometric function theory
  • special functions
  • differential operator and integral operator
  • theory of functions of complex variables

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Published Papers (3 papers)

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Research

20 pages, 347 KiB  
Article
Initial Coefficient Bounds for Certain New Subclasses of bi-Bazilevič Functions and Exponentially bi-Convex Functions with Bounded Boundary Rotation
by Prathviraj Sharma, Srikandan Sivasubramanian and Nak Eun Cho
Axioms 2024, 13(1), 25; https://doi.org/10.3390/axioms13010025 - 29 Dec 2023
Cited by 2 | Viewed by 1232
Abstract
The objective of the present article is to introduce new subclasses of bi-Bazilevič functions, bi-quasi-convex functions and α-exponentially bi-convex functions involving functions with bounded boundary rotation of order ν. For the above-said newly defined classes, we obtain first two initial coefficient [...] Read more.
The objective of the present article is to introduce new subclasses of bi-Bazilevič functions, bi-quasi-convex functions and α-exponentially bi-convex functions involving functions with bounded boundary rotation of order ν. For the above-said newly defined classes, we obtain first two initial coefficient bounds. In addition, the familiar Fekete–Szegö coefficient inequality is too found for the newly introduced subclasses of bi-univalent functions. Apart from the new findings that are obtained, it also improves the prior estimates that are presented already in the literature. Full article
(This article belongs to the Special Issue Advances in Complex Analysis and Geometric Function Theory with Applications)
12 pages, 296 KiB  
Article
Coefficient Bounds and Fekete–Szegö Inequalities for a Two Families of Bi-Univalent Functions Related to Gegenbauer Polynomials
by Yahya Almalki, Abbas Kareem Wanas, Timilehin Gideon Shaba, Alina Alb Lupaş and Mohamed Abdalla
Axioms 2023, 12(11), 1018; https://doi.org/10.3390/axioms12111018 - 29 Oct 2023
Cited by 2 | Viewed by 1172
Abstract
The purpose of this article is to introduce and study certain families of normalized certain functions with symmetric points connected to Gegenbauer polynomials. Moreover, we determine the upper bounds for the initial Taylor–Maclaurin coefficients |a2| and |a3| [...] Read more.
The purpose of this article is to introduce and study certain families of normalized certain functions with symmetric points connected to Gegenbauer polynomials. Moreover, we determine the upper bounds for the initial Taylor–Maclaurin coefficients |a2| and |a3| and resolve the Fekete–Szegöproblem for these functions. In addition, we establish links to a few of the earlier discovered outcomes. Full article
(This article belongs to the Special Issue Advances in Complex Analysis and Geometric Function Theory with Applications)
18 pages, 355 KiB  
Article
On Modified Integral Inequalities for a Generalized Class of Convexity and Applications
by Hari Mohan Srivastava, Muhammad Tariq, Pshtiwan Othman Mohammed, Hleil Alrweili, Eman Al-Sarairah and Manuel De La Sen
Axioms 2023, 12(2), 162; https://doi.org/10.3390/axioms12020162 - 5 Feb 2023
Cited by 3 | Viewed by 1429
Abstract
In this paper, we concentrate on and investigate the idea of a novel family of modified p-convex functions. We elaborate on some of this newly proposed idea’s attractive algebraic characteristics to support it. This is used to study some novel integral inequalities [...] Read more.
In this paper, we concentrate on and investigate the idea of a novel family of modified p-convex functions. We elaborate on some of this newly proposed idea’s attractive algebraic characteristics to support it. This is used to study some novel integral inequalities in the frame of the Hermite–Hadamard type. A unique equality is established for differentiable mappings. The Hermite–Hadamard inequality is extended and estimated in a number of new ways with the help of this equality to strengthen the findings. Finally, we investigate and explore some applications for some special functions. We think the approach examined in this work will further pique the interest of curious researchers. Full article
(This article belongs to the Special Issue Advances in Complex Analysis and Geometric Function Theory with Applications)
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