Uniformly starlike functions and uniformly convex functions related to the Pascal distribution

In this article, we aim to find sufficient conditions for a convolution of analytic univalent functions and the Pascal distribution series to belong to the families of uniformly starlike functions and uniformly convex functions in the open unit disk $\mathbb{U}$. We also state corollaries of our mai...

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Bibliographic Details
Main Authors: Gangadharan Murugusundaramoorthy, Sibel Yalçın
Format: article
Language:EN
Published: Institute of Mathematics of the Czech Academy of Science 2021
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Online Access:https://doaj.org/article/c3ef48a44faf43039a5d8cc072f5365c
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Summary:In this article, we aim to find sufficient conditions for a convolution of analytic univalent functions and the Pascal distribution series to belong to the families of uniformly starlike functions and uniformly convex functions in the open unit disk $\mathbb{U}$. We also state corollaries of our main results.