• 2020-11-10
• Oyekan, E.A, Awolere I.T
• Volume 2, Issue 2

Abstract

We introduced and investigated new subclasses M (2,a,S,(z,t)) and (B,a,S,(z,t)) of bi-univalent functions defined in the open unit disk, involving the probabilities of generalized distribution and generalized polylogarithms subordinate to Chebyshev polynomials. Furthermore, we determined the estimates on the Taylor-Maclaurin coefficients and for the functions in the new subclasses introduced here. Also, we used these estimates to established the relevant connections to classical Fekete-Szego estimate. Several presume new consequences of the results were also established.