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Generalized Distribution and Its Geometric Properties Associated with Univalent Functions

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  • Saurabh Porwal

Abstract

The purpose of the present paper is to introduce a generalized discrete probability distribution and obtain some results regarding moments, mean, variance, and moment generating function for this distribution. Further, we show that for specific values it reduces to various well-known distributions. Finally, we give a beautiful application of this distribution on certain analytic univalent functions.

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  • Saurabh Porwal, 2018. "Generalized Distribution and Its Geometric Properties Associated with Univalent Functions," Journal of Complex Analysis, Hindawi, vol. 2018, pages 1-5, June.
    • Handle: RePEc:hin:jnljca:8654506
    DOI: 10.1155/2018/8654506
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    Cited by:

    1. Sunday Oluwafemi Olatunji & Fethiye Müge Sakar & Nicoleta Breaz & Seher Melike Aydoǧan & Matthew Olanrewaju Oluwayemi, 2024. "Bi-Univalency of m -Fold Symmetric Functions Associated with a Generalized Distribution," Mathematics, MDPI, vol. 12(2), pages 1-10, January.

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