Geodesic
Applications Poisson Distribution and Ruscheweyh Derivative Operator for Bi-Univalent Functions
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 1, p. 89 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 $\beta$-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.
Classification : 30C45, 30C80
Keywords: Bi-univalent function, $(M;N)$-Lucas polynomial, coefficient bound, Fekete-Szegö problem, Poisson distribution, subordination, Ruscheweyh derivative 
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Abbas Kareem Wanas; Janusz Sokół. Applications Poisson Distribution and Ruscheweyh Derivative Operator for Bi-Univalent Functions. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 1, p. 89 . http://geodesic.mathdoc.fr/item/KJM_2024_48_1_a6/