Notes on Jung–Kim–Srivastava integral operator

Abstract

The object of the present paper is to investigate some properties of certain integral operator Q α β introduced and studied recently by Jung, Kim, and Srivastava [

Convolution and Partial Sums of Certain Multivalent Analytic Functions Involving Srivastava–Tomovski Generalization of the Mittag–Leffler Function

“…which proves that f ∈ Ω γ,k α,β (λ; ϕ) for the function ϕ given by (12). In order to show that the bound ρ is sharp, we take the functions f j ∈ A(p) (j = 1, 2) defined by…”

“…The study of the Mittag-Leffler function is an interesting topic in Geometric Function Theory. Many properties of the Mittag-Leffler function and the generalized Mittag-Leffler function can be found, e.g., in [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. In this paper we shall make a further contribution to the subject by showing some interesting properties such as convolution and partial sums for functions in the class Ω γ,k α,β (λ; ϕ).…”

Subordination properties of P‐valent functions defined by integral operators

“…The family Ω σ p (A,B,λ) is a comprehensive family containing various well-known as well as new classes of analytic functions. For example, for σ = 0 and λ = p + 1 we obtain the class Ω 0 p (A,B, p + 1) studied by Patel and Mohanty [3] or for nonzero σ see Liu [1].…”

On Sufficient Conditions for Strongly Starlike Functions Associated With a Linear Operator

“…When p = 1, the operator Q λ1 p,λ2 was first introduced by Jung et al [2]. Many interesting subclasses of analytic functions, associated with the operator Q λ1 p,λ2 , have been considered by Jung et al [2], Aouf et al [1], Liu [3], Liu and Owa [4] and others.…”