Geodesic
Coefficient estimates for a class of bi-univalent functions involving Mittag-Leffler type Borel distribution
Khan, B.1 ; Khan, M. Ghaffar2 ; Shaba, T. G.3
1 School of Mathematical Sciences and Shanghai Key Laboratory of PMMP, East China Normal University, 500 Dongchuan Road, Shanghai 200241, Peoples Republic of China
2 Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat, Pakistan
3 Department of Mathematics, Landmark University, Omu-Aran 251103, Nigeria
Journal of nonlinear sciences and its applications, Tome 16 (2023) no. 3, p. 180-197.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In recent years, many new subclasses of analytic and bi-univalent functions have been studied and examined from different viewpoints and prospectives. In this article, we introduce new subclass of analytic and bi-univalent functions based on Mittag-Leffler type Borel distribution associated with the Gegenbauer polynomials. Furthermore we obtain estimates for $\left\vert a_{2}\right\vert ,$ $\left\vert a_{3}\right\vert $, and $\left\vert a_{4}\right\vert $ coefficients and Fekete-Szego inequality for this functions class. Providing specific values to parameters involved in our main results, we get some new results.
DOI : 10.22436/jnsa.016.03.04
Classification : 30C45, 30C50, 30C80
Keywords: Analytic function, bi-univalent function, Gegenbaure polynomials, coefficient estimates, subordination, Fekete-Szego functional problems

Khan, B. 1 ; Khan, M. Ghaffar 2 ; Shaba, T. G. 3

1 School of Mathematical Sciences and Shanghai Key Laboratory of PMMP, East China Normal University, 500 Dongchuan Road, Shanghai 200241, Peoples Republic of China
2 Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat, Pakistan
3 Department of Mathematics, Landmark University, Omu-Aran 251103, Nigeria 
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Khan, B.; Khan, M. Ghaffar; Shaba, T. G. Coefficient estimates for a class of bi-univalent functions involving Mittag-Leffler type Borel distribution. Journal of nonlinear sciences and its applications, Tome 16 (2023) no. 3, p. 180-197. doi : 10.22436/jnsa.016.03.04. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.016.03.04/

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