Journal of Complex Analysis

New Trends on Analytic Function Theory


Publishing date
01 Jan 2018
Status
Published
Submission deadline
25 Aug 2017

Lead Editor

1Kocaeli University, İzmit, Turkey

2University of Rzeszów, Rzeszów, Poland

3Ambedkar University Delhi, Delhi, India


New Trends on Analytic Function Theory

Description

The theory of analytic functions is one of the outstanding and elegant subjects of classical mathematics. The study of univalent and multivalent functions is a fascinating aspect of the theory of complex variables, and it is concerned primarily with the interplay of analytic structure and geometric behavior of analytic functions. The rudiments of the theory had already emerged in the beginning of the previous century in the investigations of Koebe in 1907, Gronwall’s proof of the area theorem in 1914, and Bieberbach’s estimates of the second coefficients in 1916. The important aspects concerning the structure and geometric properties in the theory of analytic functions have been studied in more depth during the last few decades. Application and expansion of the theory of univalent and multivalent functions have been employed in numerous fields including differential equations, partial differential equations, fractional calculus, operators theory, and differential subordinations.

This special issue will publish research papers and review articles of the highest quality with appeal to the specialists in a field of complex analysis and to broad mathematical community. We do hope that the distinctive aspects of the issue will bring the reader close to the subject of current research. The most recent developments in the theory will give a thorough and modern approach to the classical theory and present important and compelling applications to the theory of planar harmonic mappings, quasiconformal functions, and dynamical systems.

Potential topics include but are not limited to the following:

  • Univalent and multivalent analytic functions
  • Planar harmonic mappings
  • Special functions and series
  • Differential subordination and superordination
  • Entire functions
  • Conformal and quasi-conformal mappings

Articles

  • Special Issue
  • - Volume 2019
  • - Article ID 8320861
  • - Editorial

New Trends on Analytic Function Theory

Serap Bulut | Stanislawa Kanas | Pranay Goswami
  • Special Issue
  • - Volume 2018
  • - Article ID 5915864
  • - Research Article

Certain Integral Operator Related to the Hurwitz–Lerch Zeta Function

Xiao-Yuan Wang | Lei Shi | Zhi-Ren Wang
  • Special Issue
  • - Volume 2017
  • - Article ID 6476391
  • - Research Article

Second Hankel Determinants for Some Subclasses of Biunivalent Functions Associated with Pseudo-Starlike Functions

K. Rajya Laxmi | R. Bharavi Sharma
  • Special Issue
  • - Volume 2017
  • - Article ID 6584584
  • - Research Article

Geometric Properties of Cesàro Averaging Operators

Priyanka Sangal | A. Swaminathan
  • Special Issue
  • - Volume 2017
  • - Article ID 3253095
  • - Research Article

Entire Functions of Bounded L-Index: Its Zeros and Behavior of Partial Logarithmic Derivatives

Andriy Bandura | Oleh Skaskiv
  • Special Issue
  • - Volume 2017
  • - Article ID 6564705
  • - Research Article

Sufficient Condition for Strongly Starlikeness of Normalized Mittag-Leffler Function

Deepak Bansal | Sudhananda Maharana
  • Special Issue
  • - Volume 2017
  • - Article ID 3780675
  • - Research Article

Application of Quasi-Subordination for Generalized Sakaguchi Type Functions

Şahsene Altınkaya