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arXiv · 2001.07517

Uniformly convex spiral functions and uniformly spirallike function associated with Pascal distribution series

G. Murugusundaramoorthy·B. A. Frasin·Tariq Al-Hawary
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Abstract

The aim of this paper is to find the necessary and sufficient conditions and inclusion relations for Pascal distribution series to be in the classes SP_{p}({\alpha},\b{eta}) and UCV_{p}({\alpha},\b{eta}) of uniformly spirallike functions. Further, we consider properties of a special function related to Pascal distribution series. Several corollaries and consequences of the main results are also considered.

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G. Murugusundaramoorthy, B. A. Frasin, Tariq Al-Hawary. 2020-01-15. Uniformly convex spiral functions and uniformly spirallike function associated with Pascal distribution series. https://arxiv.org/abs/2001.07517

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