Certain classes of analytic functions defined by polylogarithm functions

Volume 35, Issue 3, pp 362--373 https://dx.doi.org/10.22436/jmcs.035.03.08

Publication Date: May 29, 2024 Submission Date: March 06, 2024 Revision Date: April 01, 2024 Accteptance Date: May 06, 2024

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Authors

K. Sridevi - Department of Mathematics, Dr. B. R. Ambedkar Open University, Hyderabad-500 033, T.S, India. P. Srinivasulu - Department of Mathematics, Dr. B. R. Ambedkar Open University, Hyderabad-500 033, T.S, India.

Abstract

Polylogarithm functions are special functions defined in terms of the polylogarithm, which is a generalization of the logarithm function. These functions appear in various physical systems and are essential for understanding the behavior of these systems at both classical and quantum levels. In this paper, we introduce and study a new subclass of analytic functions which are defined by means of a new differential operator. Some results connected to coefficient estimates, growth and distortion theorems, radii of starlikeness, convexity, close-to-convexity, extreme points, Hadamard product and closure property related to the subclass are obtained.

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Keywords

• Polylogarithm function
• analytic
• starlike
• convexity
• coefficient estimate
• distortion property
• extreme points

MSC

•  30C45
•  30C30
•  30C55

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