Applications of differential subordinations for certain classes of p-valent functions associated with generalized Srivastava-Attiya operator

Abstract

The object of the present paper is to investigate some inclusion relations and other interesting properties for certain classes of p-valent functions involving generalized Srivastava-Attiya operator by using the principle of differential subordination. MSC: 30C45

Convolution Properties of p-Valent Functions Associated with a Generalization of the Srivastava-Attiya Operator

“…The operator L , is now popularly known in the literature as the Srivastava-Attiya operator. Various basic properties of L , are systematically investigated in [6][7][8][9][10][11]. For a function ∈ A and represented by the series (8), the transformation…”

On certain subclass of p-valent analytic functions associated with differintegral operator

“…If m = 0, α = λ, β = µ and γ = η then the operator is reduced into the well -known fractional differintegral operator I λ p (µ, η) which was introduced and investigated by Goyal and Prajapat [7]. (2). If we take m = 0, α = λ, β = µ and γ = η = 0 then the operator is reduced into the known fractional differintegral operator Ω λ p .…”