About Euler Polynomials Coefficient Estimates for Certain Bi-Univalent Functions Defined by Subordinations

Author : Cojocnean Mihaela

Abstract :Our research endeavors focus on the introduction of novel subclasses of analytic functions, which are defined in terms of Euler polynomials. The primary objective of our investigation is to estimate the Fekete-Szeg functional problem and determine the Maclaurin coefficients, specifically |c2| and |c3|, for this particular subfamily. Furthermore, we will present a number of innovative findings that arise when we specialize the parameters employed in our core discoveries.

Keywords :Analytic functions, Euler polynomials, Convolution, Bi-univalent functions, Fekete-Szego problem. 2010 MSC: MSC 30C45, MSC 30C50.

Conference Name :International Conference on Complex Analysis, Differentiability and Analyticity in Mathematics (ICCADAM -24)

Conference Place Venice, Italy

Conference Date 3rd Dec 2024