Ala Amourah, Abdullah Alsoboh, Jamal Salah, Khamis Al Kalbani, "Bounds on Initial Coefficients for Bi-Univalent Functions Linked to q-Analog of Le Roy-Type Mittag-Leffler Function," WSEAS Transactions on Mathematics, vol. 23, pp. 714-722, 2024, DOI:10.37394/23206.2024.23.73
Ala Amourah, Abdullah Alsoboh, Jamal Salah, Khamis Al Kalbani. Bounds on Initial Coefficients for Bi-Univalent Functions Linked to q-Analog of Le Roy-Type Mittag-Leffler Function.
WSEAS Transactions on Mathematics. 2024;23:714-722. 10.37394/23206.2024.23.73
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 23, 2024
Bounds on Initial Coefficients for Bi-Univalent Functions Linked to q-Analog of Le Roy-Type Mittag-Leffler Function
Authors: , , ,
Abstract: This study introduces a new class of bi-univalent functions by incorporating the q-analog of Le Roy-type Mittag-Leffler functions alongside q-Ultraspherical polynomials. We formulate and solve the Fekete-Szegö functional problems for this newly defined class of functions, providing estimates for the coefficients |α2| and |α3| in their Taylor-Maclaurin series. Additionally, our investigation produces novel results by adapting the parameters in our initial discoveries.
Keywords:
Orthogonal polynomial, q-Ultraspherical polynomials, Analytic functions, Univalent functions, Bi-univalent functions, Fekete-Szegö problem, Subordination, q-calculus
Pages: 714-722 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 23, 2024, Art. #73 DOI: 10.37394/23206.2024.23.73
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