Exploiting Miller-Ross Poisson distribution to construct novel subclass of bi-univalent functions

Year 2025, Volume: 74 Issue: 4, 621 - 630, 24.12.2025

Mallikarjun G. Shrigan , Ashok A. Thombre Dhananjay N. Chate

https://doi.org/10.31801/cfsuasmas.1654266

https://izlik.org/JA53ZB82JZ

Abstract

In this article, we introduce a new subclass of bi-univalent functions related to Miller-Ross Poisson Distribution (MRPD). For this subclass, the authors first derived two initial coefficient bounds. Moreover, the renowned Fekete-Szegö inequality was established for the newly defined subclass of bi-univalent functions, with some results providing improvements over earlier findings in the literature.

Keywords

Miller-Ross Poisson distribution , bi-univalent functions , Fekete-Szegö functional , $q$-derivative operator , $q$-Bernoulli numbers

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