Bi-Univalent Functions Classes Defined by Poisson Distribution Series.
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Authors: G. E. ABO ELYAZYD, P. AGARWAL, A. I. ELMAHDY, H. E. DARWISH AND S. JAIN
DOI: 10.46793/KgJMat2609.1499E
Abstract:
By using Poisson distribution series we introduce and derive different subclasses of regular and bi-univalent functions in the open unit disk. We then present special estimates for the Taylor coefficient inequalities
and 
of functions belonging to
this new subclass. In addition, several consequences of our results are pointed out
which are new and have not yet been discussed in association with bounded
boundary rotation.
Keywords:
Analytic and univalent functions, bi-univalent functions, bi-starlike and bi-convex functions, Poisson distribution series.
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