Coefficient Bounds and Fekete-Szeg¨o inequality for a Certain Families of Bi-Prestarlike Functions Defined by (M,N)-Lucas Polynomials

Abstract

In the current work, we use the (M,N)-Lucas Polynomials to introduce a new families of holomorphic and bi-Prestarlike functions defined in the unit disk O and establish upper bounds for the second and third coefficients of the Taylor-Maclaurin series expansions of functions belonging to these families. Also, we debate Fekete-Szeg¨o problem for thesefamilies. Further, we point out several certain special cases for our results.

Certain Families of Holomorphic and Sălăgean Type Bi-Univalent Functions Defined by (p,q)-Lucas Polynomials Involving a Modified Sigmoid Activation Function

“…In the year 2010, Srivastava et al [15] refreshed the study of various classes of bi-univalent functions. Moreover, many penmaus explored bounds for different subclasses of bi-univalent function (see, for examples [1,2,3,4,5,8,13,14,16,17]). The coefficient estimate problem involving the bound of…”