Coefficient inequalities for certain subclasses of analytic functions and their applications involving the Owa-Srivastava operator of fractional calculus

Inequalities Defining Certain Subclasses of Analytic and Multivalent Functions Involving Fractional Calculus Operators

Making use of a certain fractional calculus operator, we introduce two new subclasses Mδ(p;λ, μ, η) and Tδ(p;λ, μ, η) of analytic and p−valent functions in the open unit disk. The results investigated exhibit the sufficiency conditions for a function to belong to each of these classes. Several geometric properties of such multivalent functions follow, and these consequences are also mentioned.

Certain Subclasses of Multivalent Functions Associated with Fractional Calculus Operator

By means of the generalized fractional calculus operator, we introduce and investigate a subclass of p−valent functions with negative coefficients. We obtain the coefficient estimates, distortion bounds for the class. Furthermore, we discuss inclusion relationship involving the neighborhood result of the same. Mathematics Subject Classification: 30C45

Research Article Inclusion Properties for Certain Subclasses of Analytic Functions Associated with the Dziok-Srivastava Operator

Subclasses of Starlike Functions Involving Srivastava-attiya Integral Operator

Making use of the generalized Srivastava-Attiya integral operator, we define a new subclass of starlike functions with negative coefficients and obtain coefficient estimates, extreme points, the radii of close to convexity, starlikeness and convexity and neighbourhood results for f ∈ TS b (α, β, γ, A,B). In particular, we obtain modified Hadamard product results for the function f(z) belongs to...

Some Properties of Certain Subclasses of Multivalent Functions Involving the Dziok-srivastava Operator

The main purpose of the present paper is to derive such results as inclusion relationships and convolution properties for certain new subclasses of multivalent analytic functions involving the Dziok-Srivastava operator. The results presented here would provide extensions of those given in earlier works. Several other new results are also obtained.