Applications Poisson Distribution and Ruscheweyh Derivative Operator for Bi-Univalent Functions
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Authors: A. K. WANAS AND J. SOKół
DOI: 10.46793/KgJMat2401.089W
Abstract:
In this paper we establish upper bounds for the second and third coefficients of holomorphic and bi-univalent functions in a new family which involve the Bazilevič functions and β-pseudo-starlike functions under a new operator joining Poisson distribution with Ruscheweyh derivative operator. Also, we discuss Fekete-Szegö problem of functions in this family.
Keywords:
Bi-univalent function, (M,N)-Lucas polynomial, coefficient bound, Fekete-Szegö problem, Poisson distribution, subordination, Ruscheweyh derivative.
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