Geodesic
Uniformly starlike functions and uniformly convex functions related to the Pascal distribution
Mathematica Bohemica, Tome 146 (2021) no. 4, pp. 419-428
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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.
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.
DOI : 10.21136/MB.2020.0044-20
Classification : 30C45, 33C10, 33C20
Keywords: uniformly starlike function; uniformly convex function; starlike function; convex function; Pascal distribution; convolution 
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Murugusundaramoorthy, Gangadharan; Yalçın, Sibel. Uniformly starlike functions and uniformly convex functions related to the Pascal distribution. Mathematica Bohemica, Tome 146 (2021) no. 4, pp. 419-428. doi: 10.21136/MB.2020.0044-20

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