On univalence of two integral operators

Kudriasov Type Univalence Criteria for Some Integral Operators

“…For example, the result obtained by Pascu in [3] is also known as an improvement of Becker's univalence criteria. This result or other similar generalizations of Becker's univalence criteria have been used further to derive new univalence criteria for integral operators (see, e.g., some relatively recent works as [1,5,6]). In this paper we use Pascu improvement of Becker's univalence criteria and also another univalence condition for a function to be univalent, given by Kudriasov in [2].…”

“…In this paper we use Pascu improvement of Becker's univalence criteria and also another univalence condition for a function to be univalent, given by Kudriasov in [2]. There are also some papers devoted to univalence criteria that use some Kudriasov type conditions (see, e.g., the work [1] containing a chapter dedicated to Kudriasov type univalence conditions and other papers as, e.g., [7][8][9][10]).…”

“…Some univalence criteria for these integral operators were studied in [1]. Applying univalence conditions given by Kudriasov [2] and Pascu [3], we obtain new Kudriasov type univalence criteria for these two integral operators.…”

Univalence criteria for a general integral operator

“…Proof. We observe that J γ 1 ,γ 2 ,...,γ n ,β has the form (16). Consider the function (z) defined in the formula (17).…”

Univalence conditions of certain integral operators

“…The integral operators in (1.2) and (1.3) were introduced and investigated by Pescar [7]. Also, the integral operators in (1.4), (1.5) and (1.6) were studied by Pescar and Breaz [8]. Many univalent conditions associated with these integral operators in (1.1) to (1.6) were obtained by several authors [1][2][3][4][5][6][7][8].…”