Advances on Complex Analysis, 2nd Edition

A special issue of Mathematics (ISSN 2227-7390).

Deadline for manuscript submissions: closed (31 March 2024) | Viewed by 1447

Special Issue Editors


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Guest Editor
Department of Computing, Mathematics and Electronics, "1 Decembrie 1918" University of Alba Iulia, 510009 Alba Iulia, Romania
Interests: complex analysis; univalent functions; special functions
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
1. Department of Informatics, Mathematicsand Electronics, Faculty of Science and Engineering, "1 Decembrie 1918" University of Alba Iulia, 510009 Alba Iulia, Romania
2. Faculty of Mathematics and Computer Science, Transilvania University of Brasov, Iuliu Maniu Street 50, 500091 Brasov, Romania
Interests: systems and control; time-varying systems; dynamical systems; difference equations
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The purpose of this Special Issue is to gather contributions on the most recent advances in the mathematical theory of complex analysis and its applications in the fields of physics and engineering as well as to other areas of mathematics, whether pure or applied. We aim to include recent developments in several branches of complex analysis, including geometric function theory, analytic number theory, differential subordination and superordination, function algebras, and quantum calculus and its applications in geometric function theory.

Our goal is to stimulate the ongoing efforts to develop new results on these topics. To help us meet this goal, we invite authors to submit original research articles, as well as high-quality review articles that reflect the Special Issue theme.

Prof. Dr. Valer-Daniel Breaz
Dr. Ioan-Lucian Popa
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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

  • complex polynomials
  • analytic and harmonic univalent functions
  • meromorphic univalent functions
  • differential subordination and superordination
  • special functions and their applications in geometric function theory
  • quantum calculus and its applications in geometric function theory
  • operators on function spaces

Published Papers (1 paper)

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Research

22 pages, 344 KiB  
Article
Starlikeness Associated with the Van Der Pol Numbers
by Mohsan Raza, Hari Mohan Srivastava, Qin Xin, Fairouz Tchier, Sarfraz Nawaz Malik and Muhammad Arif
Mathematics 2023, 11(10), 2231; https://0-doi-org.brum.beds.ac.uk/10.3390/math11102231 - 10 May 2023
Cited by 1 | Viewed by 874
Abstract
In this paper, we define a subclass of starlike functions associated with the Van der Pol numbers. For this class, we derive structural formula, radius of starlikeness of order α, strong starlikeness, and some inclusion results. We also study radii problems for [...] Read more.
In this paper, we define a subclass of starlike functions associated with the Van der Pol numbers. For this class, we derive structural formula, radius of starlikeness of order α, strong starlikeness, and some inclusion results. We also study radii problems for various classes of analytic functions. Furthermore, we investigate some coefficient-related problems which include the sharp initial coefficient bounds and sharp bounds on Hankel determinants of order two and three. Full article
(This article belongs to the Special Issue Advances on Complex Analysis, 2nd Edition)
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