New Trends on Analytic Function Theory

Stanislawa Kanas,Serap Bulut,Pranay Goswami

doi:10.1155/2019/8320861

Abstract

New Trends on Analytic Function Theory

Highlights

E theory of analytic functions is one of the outstanding and elegant subjects of classical mathematics. e study of univalent and multivalent functions is a fascinating aspect of the theory of complex variables and its concern primarily with the interplay of analytic structure and geometric behavior of analytic functions. e rudiments of the theory had already emerged in the beginning of the past century in the investigations of Koebe in, Gronwall’s proof of the area theorem in, and Bieberbach’s estimates of the second coefficients in . e 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
Is special issue published research papers and review articles of the highest quality with appeal to the specialists in a field of complex analysis based on coefficient inequalities of biunivalent functions, application of quasi-subordination for generalized Sakaguchi type functions, certain integral operator related to the Hurwitz–Lerch Zeta function, geometric properties of Cesaro averaging operators, sufficient condition for strongly starlikeness of normalized MittagLeffler function, and entire functions of bounded l-index: its zeros and behavior of partial logarithmic derivatives

Summary

Introduction

Is special issue published research papers and review articles of the highest quality with appeal to the specialists in a field of complex analysis based on coefficient inequalities of biunivalent functions, application of quasi-subordination for generalized Sakaguchi type functions, certain integral operator related to the Hurwitz–Lerch Zeta function, geometric properties of Cesaro averaging operators, sufficient condition for strongly starlikeness of normalized MittagLeffler function, and entire functions of bounded l-index: its zeros and behavior of partial logarithmic derivatives. Editorial New Trends on Analytic Function Theory E theory of analytic functions is one of the outstanding and elegant subjects of classical mathematics.

Results

Conclusion