Univalence criteria for a general integral operator

Abstract

In this paper the author introduces a general integral operator and determines conditions for the univalence of this integral operator. Also, the significant relationships and relevance with other results are also given.

Univalence conditions for an integral operator defined by a generalization of the Srivastava-Attiya operator

“…Our main results are contained in Theorems 1, 2 and 3. By suitably specializing these main results, we have deduced several corollaries and consequences which were derived in a number related earlier works on the subject of investigation here (see also the recent works [9], [10], [11] and [23]).…”

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

“…Frasin [18] and Arif and Raza [2] studied the convexity and strongly convexity of the integral operators dened in [4]. Recently Deniz et al [16] and Deniz [10] studied the integral operator dened by generalized Bessel functions of order v. For further details of these univalence criterion, we refer the readers to [4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,25,26,27,28]. Motivated by the work of these above authors, we contribute to this univalence theory by studying the univalence of integral operators involving generalized Struve functions.…”

Some classes of p-valent analytic functions associated with hypergeometric functions

“…In the recent years, several interesting subclasses of analytic functions have been introduced and investigated, see [1,4,12,13,14,15,21,22].…”