Mathematical Analysis and its Contemporary Applications

On sufficient conditions for some classes of multivalent functions

10.30495/maca.2025.2071513.1149
Volume 7, Issue 4
Autumn 2025
Pages 79-88
Mathematical Analysis and its Contemporary Applications

Document Type : Original Article

Authors

Pranay Goswami 1
Sanjeev Shukla 1
Sanjay Bansal 2

1 School of Liberal Studies, Dr B. R. Ambedkar University, Delhi-11006, India

2 Department of Mathematics, Jaipur Engineering College and Research Center, Rajasthan, Jaipur-302022, India

Abstract
In this paper, we investigate two distinct classes of multivalent functions and establish sufficient conditions for a multivalent function to belong to these classes. The results presented here extend and unify existing criteria related to the starlikeness and convexity of multivalently analytic functions. By generalizing earlier findings, our work provides a broader framework for analyzing geometric properties and inclusion relationships within subclasses of analytic multivalent functions.

Keywords

Multivalent Functions
Starlike Functions
Convex Functions
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  • Receive Date 12 September 2025
  • Revise Date 10 November 2025
  • Accept Date 10 November 2025

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