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IMCS/Publications/BASM/Issues/BASM n3(97), 2021/

Unified Approach to Starlike and Convex Functions Involving Poisson Distribution Series

Authors: Mallikarjun Shrigan, Sibel Yalcin, Sahsene Altinkaya
Keywords: Starlike functions, Convex functions, Poisson distribution series, Convolution operator, Conic domains.

Abstract

The motivation behind present paper is to establish connection between analytic univalent functions $\mathcal{T}S_{p}(\zeta,\gamma,\delta)$ and $UC\mathcal{T}(\zeta,\gamma,\delta)$ by applying Hadamard product involving Poisson distribution series. We likewise consider an integral operator connection with this series.

Mallikarjun G. Shrigan
Department of Mathematics,
Biwarabai Sawant Information Technology and Research,
Pune 412207, India
E-mail:

Sibel Yalcin, Sahsene Altinkaya
Department of Mathematics, Uludag University,
16059 Bursa, Turkey
E-mail: ,



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