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JOURNALS // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Archive

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2021 Number 3, Pages 11–20 (Mi basm554)

Unified approach to starlike and convex functions involving Poisson distribution series

Mallikarjun G. Shrigana, Sibel Yalcinb, Sahsene Altinkayab

a Department of Mathematics, Biwarabai Sawant Information Technology and Research, Pune 412207, India
b Department of Mathematics, Uludag University, 16059 Bursa, Turkey

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.

Keywords and phrases: starlike functions, convex functions, poisson distribution series, convolution operator, conic domains.

MSC: 30C45

Received: 07.02.2019

Language: English



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