Univalence Criteria for some General Integral Operators

The main object of this paper is to extend the univalent condition for two general integral operators. A number of known univalent condition would follow upon specializing the parameters involved in our main results.

Univalence criteria for a general integral operator

"The main object of this paper is to give sufficient conditions for the general integral operator Tn, to be univalent in the open disk U, when gi, hi, ki ∈ Gbi for all i = 1, n. This general integral operator was considered in a recent work [Barbatu, C. and Breaz, D., ˘ Classes of an univalent integral operator, Studia Univ. Babes¸-Bolyai Math., accepted]. The results derived in this paper are shown to follow upon specializing the parameters involved in our results. Several corollaries of the main results are also considered."

On univalence of an integral operator

In this paper we define an integral operator for analytic functions in the open unit disk and we determine certain univalence criteria for this integral operator

Starlikeness, convexity and landau type theorem of the real kernel α-harmonic mappings

In [26], Olofsson introduced a kind of second order homogeneous partial differential equation. We call the solution of this equation real kernel ?-harmonic mappings. In this paper, we study some geometric properties of this real kernel ?-harmonic mappings. We give univalence criteria and sufficient coefficient conditions for real kernel ?-harmonic mappings that are fully starlike or fully convex of order ?, ? ? [0, 1). Furthermore, we establish a Landau type theorem for real kernel ?-harmonic mappings.

Some Univalence Conditions of a Certain General Integral Operator

For some classes of analytic functions f, g, h and k in the open unit disk U, weconsider the general integral operator Tn, that was introduced in a recent work [1] and we obtain new conditions of univalence for this integral operator. The key tools in the proofs of our results are the Pascu’s and the Pescar’s univalence criteria, as well as the Mocanu’s and erb’s Lemma. Some corollaries of the main results are also considered. Relevant connections of the results presented here with various other known results are briefly indicated.

Some univalence conditions related to a general integral operator

For some classes of analytic functions f, g, h and k in the open unit disk 𝕌, we consider the general integral operator 𝒢n, that was introduced in a recent work [1] and we obtain new conditions of univalence for this integral operator. The key tools in the proofs of our results are the Pascu’s and the Pescar’s univalence criteria, as well as the Mocanu’s and Şerb’s Lemma. Some corollaries of the main results are also considered. Relevant connections of the results presented here with various other known results are briefly indicated.

Univalence of New General Integral Operator Defined by the Ruscheweyh Type q-Difference Operator

In this study , by employing the Ruscheweyh type q-analogue operator we consider a new family of integral operators on the space of analytical functions. For this family, we demonstrate some sufficient conditions of univalence criteria on the class of analytical functions.