An Application of the Mittag-Leffler-type Borel Distribution and Gegenbauer Polynomials on a Certain Subclass of Bi-Univalent Functions

Key Points

• New approximations for Taylor-Maclaurin coefficients can be derived using the subclass of bi-univalent functions.
• The study introduces a subclass that combines Gegenbauer polynomials and the Mittag-Leffler-type Borel distribution, enhancing mathematical applications.
• Using the Mittag-Leffler-type Borel distribution, researchers explored its applicability to bi-univalent functions and polynomial approximations in complex analysis for better insights in function theory.