SOME PROPERTIES OF ANALYTIC FUNCTIONS DEFINED BY POLYLOGARITHM FUNCTIONS | ||
| Electronic Journal of Mathematical Analysis and Applications | ||
| Volume 12, Issue 2, 2024, Pages 1-13 PDF (301.05 K) | ||
| Document Type: Regular research papers | ||
| DOI: 10.21608/ejmaa.2024.280116.1166 | ||
| Author | ||
| Thirupathi Reddy Pinninti* | ||
| Department of Mathematics,DRKIST. Hyderabad | ||
| Abstract | ||
| The evolution of polylogarithm function, also known as Jonquiere’s function, was started in 1696 by two eminent mathematicians, Leibniz and Bernoulli . In their work, the polylogarithm function was defined using an absolute convergent series. The development of this function was so significant that it was utilized in the research work of other prominent mathematicians such as Euler, Spence, Abel, Lobachevsky, Rogers, Ramanujan, etc., allowing them to discover various functional identities of great importance as a result . It should come as no surprise that the increased utilization of the polylogarithm function appears to be related to its importance in a number of key areas of mathematics and physics such as topology, algebra, geometry, complex analysis quantum field theory, and mathematical physics The main purpose of this paper, is to introduce a new subclass of analytic functions involving Polylogarithm functions and obtain coefficient inequalities, distortion properties, extreme points, radii of starlikeness and convexity, Hadamard product, and convolution and integral operators for the class.. | ||
| Keywords | ||
| analytic; starlike; convex; distortion; convolution | ||
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