On the characterization properties of certain hypergeometric functions in the open unit disk

Abstract Our purpose in the present investigation is to study certain geometric properties such as the close-to-convexity, convexity, and starlikeness of the hypergeometric function z 1 F 2 ( a ; b , c ; z ) $z{}_{1}F_{2}(a;b,c;z)$ in the open unit disk. The usefulness of the main results for some f...

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Bibliographic Details
Main Authors: Deepak Bansal, Ravinder Krishna Raina, Sudhananda Maharana, Nak Eun Cho
Format: Article
Language:English
Published: SpringerOpen 2022-12-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-022-02902-0