Sufficient conditions for univalence - Univalence of Certain Integral Operators Involving Generalized Struve functions

Abstract

In this paper, we are mainly interested to nd sucient conditions for some integral operators dened by generalized Struve functions. These operators are normalized and as well as univalent in the open unit disc U. Some special cases of Struve functions and modied Struve functions are also a part of our investigations.

Mapping Properties of Integral Operator Involving Some Special Functions

“…The next theorem gives other sufficient conditions for the integral operator defined in (12). The key tool in the proof is Lemma 2.2.…”

“…For normalized Dini functions we refer [12,13]. In the present paper, we are mainly interested about the integral operator involving some special functions defined as F v1,...,vn,α1,...,αn,β1,...,βm (z) =…”

A Certain Family of Integral Operators Associated with the Struve Functions

“…In the last few years, many mathematicians have set the univalence criteria of several of those integral operators that preserve the class S. By using a variety of different analytic techniques, operators and special functions, several authors have studied the univalence criterion. Recently Din et al [14] studied the univalence of integral operators involving generalized Struve functions. These operators are defined as follows:…”

Convexity of Certain Integral Operators Defined by Struve Functions

“…In last few years, many mathematicians have set the univalence criteria of several those integral operators which preserve the class S. By using a variety of different analytic techniques, operators, and special functions, several authors have studied univalence criterion. Recently Din et al [10] studied the univalence of integral operators involving generalized Struve functions. These operators are defined as follows:…”