Generalization of Certain Subclasses of Multivalent Functions with Negative Coefficients Defined by Cho-Kwon-Srivastava Operator

On Certain Subclasses of Multivalent Functions with Negative Coefficients Defined by Using a Differential Operator

Making use of a differential operator the author investigate the various impartant properties and characteristics of the subclass Tj(n,m, p, q, α) (p, j,m ∈ N = {1, 2, . . .}, q, n ∈ N0 = N ∪ {0}, 0 ≤ α < p − q) of p-valently analytic functions with negative coefficients. Finally, several applications involving an integral operator and certain fractional calculus operators are also considered.

Inclusion and argument properties for certain subclasses of multivalent functions defined by the Dziok-Srivastava operator

The object of the present paper is to investigate some inclusion relationships and argument properties of several subclasses of multivalent analytic functions, which are defined here by using the Dziok-Srivastava operator. Furthermore, relevant connections of the results presented in this paper with those obtained in earlier works are also pointed out. AMS subject classification: 30C45, 30C50.

Certain Subclasses of Multivalent Prestarlike Functions with Negative Coefficients

The object of the present paper is to investigate coefficient estimates for functions belonging to the subclasses Rγ [α, β ] and C p γ [α, β ] of p-valent γ -prestarlike functions of order α and type β with negative coefficients. We obtain extreme points, distortion theorems, integral operators and radii of starlikeness and convexity for functions belonging to the classes Rγ [α, β ] and C γ [α,...

Certain Subclasses of Analytic Functions with Negative Coefficients Defined by Generalized Sălăgean Operator

Abstract We introduce the subclass Tj(n, m, γ, α, λ) of analytic functions with negative coefficients defined by generalized Sălăgean operator D λ . Coefficient estimates, some important properties of the class Tj(n, m, γ, α, λ) and distortion theorems are determined. Further, extremal properties and radii of close-to-convexity, starlikeness and convexity of the class Tj(n, m, γ, α, λ) are obta...

On Certain Class of Analytic Functions Related to Cho-Kwon-Srivastava Operator