Applications of Borel Distribution and Mittag-Leffler Function on a Class of Bi-Univalent Functions

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DOI: https://doi.org/10.28924/2291-8639-23-2025-41
Published: Feb 14, 2025
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Waleed Al-Rawashdeh, Applications of Borel Distribution and Mittag-Leffler Function on a Class of Bi-Univalent Functions, Int. J. Anal. Appl., 23 (2025), 41.

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Waleed Al-Rawashdeh

Abstract

In this study, we present a novel class of bi-univalent functions that incorporates the Borel distribution and the Mittag-Leffler function within the open unit disk D. This is achieved by employing the q-analog of the hyperbolic tangent function in conjunction with the Hadamard product. The primary goal is determining the initial coefficient bounds for functions that fall within this newly defined class. Additionally, we explore the classical Fekete-Szegö functional problem as it pertains to these functions. Moreover, we highlight several known corollaries that arise from specific selections of the parameters associated with this class.

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