commun. fac. sci. univ. ank. ser. a1 math. stat. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 1303-5991 2618-6470 Ankara University 10.31801/cfsuasmas.1654266 Real and Complex Functions (Incl. Several Variables) Reel ve Kompleks Fonksiyonlar Exploiting Miller-Ross Poisson distribution to construct novel subclass of bi-univalent functions https://orcid.org/0000-0002-9474-0979 Shrigan Mallikarjun G. Dr. D Y Patil School of Engineering and Technology https://orcid.org/0009-0008-3353-067X Thombre Ashok A. Swami Ramanand Teerth Marathawada University https://orcid.org/0009-0000-2624-6445 Chate Dhananjay N. Sanjeevanee Mahavidyalaya, Chapoli, India 12 24 2025 74 4 621 630 03 09 2025 05 31 2025 Copyright © 1948, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 1948 Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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.

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