A criterion for univalence extension

This paper presents a study on the univalence extension of a specific class of functions defined by an integral operator. The research provides sufficient conditions for determining this univalence extension, which depend on two arbitrary analytic functions defined in the unit disk, alongside three...

Full description

Saved in:
Bibliographic Details
Published inAfrika mathematica Vol. 35; no. 2
Main Authors Masih, Vali Soltani, Rahmatan, Hormoz, Taheri, Seyedeh Kolsum
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2024
Springer Nature B.V
Subjects
Analytic functions
Applications of Mathematics
Complex numbers
History of Mathematical Sciences
Mathematical analysis
Mathematics
Mathematics and Statistics
Mathematics Education
Operators (mathematics)
Integral operator
30C45
Analytic function
Univalence criteria
Löewner chain
Online AccessGet full text

Cover

More Information
Summary:This paper presents a study on the univalence extension of a specific class of functions defined by an integral operator. The research provides sufficient conditions for determining this univalence extension, which depend on two arbitrary analytic functions defined in the unit disk, alongside three complex numbers. The main result of the study includes these functions and parameters, and by specializing them, it leads to various well-known univalent conditions. The paper showcases examples to demonstrate how these conditions can be applied.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-024-01172-x