Certain classes of analytic functions defined by polylogarithm functions
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.
Share and Cite
ISRP Style
K. Sridevi, P. Srinivasulu, Certain classes of analytic functions defined by polylogarithm functions, Journal of Mathematics and Computer Science, 35 (2024), no. 3, 362--373
AMA Style
Sridevi K., Srinivasulu P., Certain classes of analytic functions defined by polylogarithm functions. J Math Comput SCI-JM. (2024); 35(3):362--373
Chicago/Turabian Style
Sridevi, K., Srinivasulu, P.. "Certain classes of analytic functions defined by polylogarithm functions." Journal of Mathematics and Computer Science, 35, no. 3 (2024): 362--373
Keywords
- Polylogarithm function
- analytic
- starlike
- convexity
- coefficient estimate
- distortion property
- extreme points
MSC
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