Applications Poisson Distribution and Ruscheweyh Derivative Operator for Bi-Univalent Functions
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 1, p. 89
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
Keywords: Bi-univalent function, $(M;N)$-Lucas polynomial, coefficient bound, Fekete-Szegö problem, Poisson distribution, subordination, Ruscheweyh derivative
@article{KJM_2024_48_1_a6,
author = {Abbas Kareem Wanas and Janusz Sok\'o{\l}},
title = {Applications {Poisson} {Distribution} and {Ruscheweyh} {Derivative} {Operator} for {Bi-Univalent} {Functions}},
journal = {Kragujevac Journal of Mathematics},
pages = {89 },
year = {2024},
volume = {48},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2024_48_1_a6/}
}
TY - JOUR AU - Abbas Kareem Wanas AU - Janusz Sokół TI - Applications Poisson Distribution and Ruscheweyh Derivative Operator for Bi-Univalent Functions JO - Kragujevac Journal of Mathematics PY - 2024 SP - 89 VL - 48 IS - 1 UR - http://geodesic.mathdoc.fr/item/KJM_2024_48_1_a6/ LA - en ID - KJM_2024_48_1_a6 ER -
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/