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.