Coefficient Bounds and Fekete-Szego Inequalities for a Subclass of Bi-Univalent Functions Defined via ϱ Neutrosophic-Poisson Distribution

Abstract

 In the present study, we introduce a new subclass of bi-univalent analytic functions de ned on the
 open unit disk , generated via the generalized neutrosophic-Poisson distribution (NqPD) series in conjunction
 with the structural framework of the-Fibonacci sequence. A detailed analysis is carried out on the Taylor
 Maclaurin coe cients associated with functions in this class, leading to the derivation of sharp FeketeSzeg
 type inequalities that precisely estimate the initial coe cients. This uni ed approach not only extends several
 well-known results from the theory of bi-univalent functions but also uncovers new properties through a variety
 of corollaries and illustrative special cases. The proposed construction o ers deep insights into the geometric
 behavior of the function class and lays a foundation for further exploration in areas such as mathematical
 modeling, theoretical physics, and information science.

DOI: 10.5281/zenodo.16754861