A Certain Subclass of Multivalent Functions Associated with Borel Distribution Series
Open Access
- 28 July 2022
- journal article
- Published by Earthline Publishers in Earthline Journal of Mathematical Sciences
- Vol. 10 (2), 341-353
- https://doi.org/10.34198/ejms.10222.341353
Abstract
In this paper, we determine the necessary and sufficient conditions for the power series f(z) whose coefficients are probabilities of the Borel distribution to be in the family J(p,λ ,α,β,γ) of analytic functions which defined in the open unit disk. We derive a number of important geometric properties, such as, coefficient estimates, integral representation, radii of starlikeness and convexity. Also we discuss the extreme points and neighborhood property for functions belongs to this family.Keywords
This publication has 7 references indexed in Scilit:
- Applications of Beta Negative Binomial Distribution Series on Holomorphic FunctionsEarthline Journal of Mathematical Sciences, 2021
- Generalized hypergeometric distribution and its applications on univalent functionsJournal of Inequalities and Applications, 2020
- Applications of Borel Distribution Series on Analytic FunctionsEarthline Journal of Mathematical Sciences, 2020
- A unified study on starlike and convex functions associated with Poisson distribution seriesAfrika Matematika, 2016
- Differential SubordinationsPublished by Taylor & Francis Ltd ,2000
- Univalent functions with negative coefficientsProceedings of the American Mathematical Society, 1975
- On Inequalities in the Theory of FunctionsProceedings of the London Mathematical Society, 1925