Analytic Univalent Functions Defined by Generalized Discrete Probability Distribution
Open Access
- 28 August 2020
- journal article
- Published by Earthline Publishers in Earthline Journal of Mathematical Sciences
- Vol. 5 (1), 169-178
- https://doi.org/10.34198/ejms.5121.169178
Abstract
The close-to-convex analogue of a starlike functions by means of generalized discrete probability distribution and Poisson distribution was considered. Some coefficient inequalities and their connection to classical Fekete-Szego theorem are obtained. Our results provide strong connection between Geometric Function Theory and Statistics.Keywords
This publication has 4 references indexed in Scilit:
- ON A CLOSE-TO-CONVEX ANALOGUE OF CERTAIN STARLIKE FUNCTIONSBulletin of the Australian Mathematical Society, 2020
- Generalized Distribution and Its Geometric Properties Associated with Univalent FunctionsJournal of Complex Analysis, 2018
- An Application of a Poisson Distribution Series on Certain Analytic FunctionsJournal of Complex Analysis, 2014
- A coefficient inequality for certain classes of analytic functionsProceedings of the American Mathematical Society, 1969