Work

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

Year: 2025

Type: article

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.

Source: Studia Universitatis Babes-Bolyai Matematica

DOI: 10.24193/subbmath.2025.2.04

Authors: Poonam Sharma, Aditya Kishore Bajpai, Omendra Mishra, Saurabh Porwal

Institutions: University of Lucknow, Shri Ramswaroop Memorial University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4410952654

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Cites: 16

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Related to: 10