Results on Linear Operators Associated with Pascal Distribution Series for a Certain Class of Normalized Analytic Functions

Saiful R. Mondal (), Manas Kumar Giri and Raghavendar Kondooru
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Saiful R. Mondal: Department of Mathematics and Statistics, College of Science, King Faisal University, Al-Hasa 31982, Saudi Arabia
Manas Kumar Giri: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology Vellore, Vellore 632014, India
Raghavendar Kondooru: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology Vellore, Vellore 632014, India

Mathematics, 2025, vol. 13, issue 7, 1-30

Abstract: In this study, we establish sufficient conditions for determining when linear operators related to the Pascal distribution series belong to various subclasses of univalent functions. Our findings are based on applying a coefficient bound from a specific class of analytic functions, providing valuable insights into the behavior of these functions under transformation.

Keywords: univalent functions; starlike functions; convex functions; spirallike functions; pascal distribution series (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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