A generalization of multivalent functions with negative coefficients

Properties of Certain Subclass of Multivalent Functions with Negative Coefficients

Making use of a linear operator, which is defined by the Hadamard product, we introduce and study a subclass Y a,c A,B; p, λ, α of the class A p . In this paper, we obtain the coefficient inequality, distortion theorem, radius of convexity and starlikeness, neighborhood property, modified convolution properties of this class. Furthermore, an application of fractional calculus operator is given....

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,...

On Certain Multivalent Starlike or Convex Functions with Negative Coefficients

A Certain Subclass of Meromorphically Multivalent Analytic Functions with Negative Coefficients

Corresponding Author: Rabha W. Ibrahim Faculty of Computer Science and IT, University Malaya, 50603 Kuala Lumpur, Malaysia Email: [email protected] Abstract: The paper aims to introduce a certain subclass S * g(A,B,α,p,j) of the class Σ * (p) of meromorphically multivalent functions with negative coefficients, defined by using the definitions of Hadamard product and subordination for two f...

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.