Journal of Mathematics

Advances in Geometric Function Theory


Publishing date
01 Sep 2022
Status
Closed
Submission deadline
22 Apr 2022

Lead Editor
Guest Editors

1National Institute of Technology, Tiruchirappalli, India

2Kent State University, Burton, USA

3University of Warmia and Mazury, Olsztyn, Poland

This issue is now closed for submissions.
More articles will be published in the near future.

Advances in Geometric Function Theory

This issue is now closed for submissions.
More articles will be published in the near future.

Description

Geometric Function Theory (GFT) originates from the celebrated Riemann mapping theorem of 1851. The first rigorous proof emerged in 1900. C. Carathéodory provided proof in 1912 using normal families and Riemann surfaces. P. Koebe gave proof that does not require Riemann surfaces. In 1916, L. Bieberbach conjectured a bound for the coefficients of the inverse of these mappings. This conjecture initiated the development of GFT.

Although this conjecture and several others were affirmatively settled, there are new conjectures and problems that attract the attention of researchers. GFT of harmonic mappings and of bi-complex and hyper-complex variables are actively pursued in research. In addition, there are numerous problems in the classical GFT to be solved. For example, we need to find the length of ray images, coefficient estimates for functions belonging to several subclasses of analytic starlike and convex mappings. Moreover, research discussing harmonic mapping analogues to the classical GFT results needs to be further explored. The theory of differential subordination for harmonic mapping is not yet fully exploited. Although there are some GFT applications in other fields, finding applications is also essential.

The aim of this Special Issue is to solicit original research and review articles focussing on the latest developments in this research area and the applications of GFT to other research areas. We hope that this Special Issue provides a platform for researchers in different areas of analysis and applied mathematics to come together and exchange ideas on how we can further apply GFT.

Potential topics include but are not limited to the following:

  • Univalent and multivalent functions
  • Harmonic univalent functions
  • Quasiconformal mappings
  • Bi-complex variable theory
  • Hypercomplex functions
  • Entire and meromorphic functions
  • Value distribution theory
  • Approximation theory
  • Riemann surfaces
  • Spaces of analytic and meromorphic functions
  • Generalized function theory
  • Universal functions
  • Analysis of metric spaces

Articles

  • Special Issue
  • - Volume 2022
  • - Article ID 8203921
  • - Research Article

Convolution Results and Fekete–Szegö Inequalities for Certain Classes of Symmetric -Starlike and Symmetric -Convex Functions

Tamer M. Seoudy
  • Special Issue
  • - Volume 2022
  • - Article ID 1230127
  • - Research Article

Essential Norms of Stević–Sharma Operators from General Banach Spaces into Zygmund-Type Spaces

M. A. Bakhit
  • Special Issue
  • - Volume 2022
  • - Article ID 6580700
  • - Research Article

Majorization for Certain Classes of Analytic Functions Defined by Fournier–Ruscheweyh Integral Operator

Murli Manohar Gour | Pranay Goswami | ... | Saad Althobaiti
  • Special Issue
  • - Volume 2022
  • - Article ID 8162182
  • - Research Article

Applications of -Derivative Operator to the Subclass of Bi-Univalent Functions Involving -Chebyshev Polynomials

Bilal Khan | Zhi-Guo Liu | ... | Muhammad Ghaffar Khan
  • Special Issue
  • - Volume 2022
  • - Article ID 4528209
  • - Research Article

Bicomplex Landau and Ikehara Theorems for the Dirichlet Series

Ritu Agarwal | Urvashi Purohit Sharma | ... | Sunil Dutt Purohit
  • Special Issue
  • - Volume 2022
  • - Article ID 8496249
  • - Research Article

On the Partial Sums of the q-Generalized Dini Function

Alaa H. El-Qadeem | Mohamed A. Mamon | Ibrahim S. Elshazly
  • Special Issue
  • - Volume 2022
  • - Article ID 7255866
  • - Research Article

Certain Families of Analytic Functions Characterized by -Difference Operator

Rashid Murtaza | Adnan | ... | Mulugeta Andualem
  • Special Issue
  • - Volume 2022
  • - Article ID 6371343
  • - Research Article

Characterizations of Integral Type for Weighted Classes of Analytic Banach Function Spaces

Amnah E. Shammaky | A. El-Sayed Ahmed
  • Special Issue
  • - Volume 2022
  • - Article ID 2065034
  • - Research Article

Mittag-Leffler Operator Connected with Certain Subclasses of Bazilevic̆ Functions

Om Ahuja | Asena Çetinkaya | Naveen Kumar Jain
  • Special Issue
  • - Volume 2021
  • - Article ID 3163532
  • - Research Article

Characteristics of Regular Functions Defined on a Semicommutative Subalgebra of 4-Dimensional Complex Matrix Algebra

Ji Eun Kim
Journal of Mathematics
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Acceptance rate41%
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CiteScore0.900
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Article of the Year Award: Outstanding research contributions of 2021, as selected by our Chief Editors. Read the winning articles.