Some classes involving a convolution of analytic functions with some univalency conditions

In this paper, involving a convolution \(f\ast g\), two classes of normalized analytic functions \(f\) are defined. Showing an inclusion relation between these classes, various sufficient conditions for functions to be in these classes are established. In particular, varied forms of univalency conditions of the convolution function \(f\ast g\) are given which lead to some univalency conditions of several linear operators.

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Publication Details

Journal
Studia Universitatis Babes-Bolyai Matematica
Published
2025-05-29
DOI
https://doi.org/10.24193/subbmath.2025.2.04
Primary Topic
Analytic and geometric function theory
Type
article
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article

Some classes involving a convolution of analytic functions with some univalency conditions

Saurabh Porwal, Omendra Mishra, P. K. Sharma, Aditya Kishore Bajpai
Studia Universitatis Babes-Bolyai Matematica
Analytic and geometric function theory
article

Some classes involving a convolution of analytic functions with some univalency conditions

Saurabh Porwal, Omendra Mishra, P. K. Sharma, Aditya Kishore Bajpai
article en

Abstract

In this paper, involving a convolution \(f\ast g\), two classes of normalized analytic functions \(f\) are defined. Showing an inclusion relation between these classes, various sufficient conditions for functions to be in these classes are established. In particular, varied forms of univalency conditions of the convolution function \(f\ast g\) are given which lead to some univalency conditions of several linear operators.

Studia Universitatis Babes-Bolyai MatematicaVol. 70(2)
University of Lucknow (IN), Hans Raj Mahila Maha Vidyalaya (IN), Shri Ramswaroop Memorial University (IN)
Openalex Percentile: Top 82%
Analytic and geometric function theory
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