Coefficients Bounds for Certain Subclass of Biunivalent Functions Associated with Ruscheweyh q-Differential Operator

Abstract

We introduce in our present investigation a new subclass of analytic and biunivalent functions associated with Ruscheweyhdifferential operator in open unit disk . We use the Faber polynomial expansions to find th coefficients bounds of class of bisubordinate functions and also find initial coefficient estimates.

On a subclass of bi-univalent functions associated with the q-derivative operator

“…Since then, various subclasses of the bi-univalent function class Σ were introduced. The estimates on the first two coefficients |a 2 | and |a 3 | in the TaylorMaclaurin series expansion (1.1) were found in several recent studies (see [8,9,16]) and still an interest to many researchers.…”

New Subclass of Analytic Functions in Conical Domain Associated with Ruscheweyh q-Differential Operator

“…The study of opretors play in important role in Geomatric Functions Theory. Several diffierential and integral operators were introduced and studied, see for example [2,3,13]. Kannas et al define Ruscheweyh q-differential operator as follow:…”

Faber Polynomial Coefficient Bounds form-Fold Symmetric Analytic and Bi-univalent Functions Involvingq-Calculus

“…In recent years, Srivastava et al [6], Frasin and Aouf [7], Altinkaya and Yalcin [8,9], and Hayami and Owa [10] studied the various subclasses of analytic and bi-univalent function. For a brief history, see [11].…”