On the coefficients of multivalent functions.

On Certain Multivalent Starlike or Convex 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....

Subclass of Multivalent Harmonic Functions with Missing Coefficients

A continuous function f u iv is a complex-valued harmonic function in a simply connected complex domain D ⊂ C if both u and v are real harmonic in D. It was shown by Clunie and Sheil-Small 1 that such harmonic function can be represented by f h g, where h and g are analytic in D. Also, a necessary and sufficient condition for f to be locally univalent and sense preserving in D is that |h′ z | >...

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 Functions

Let ᏿ * (p,α) be the class of functions f (z) which are analytic and p-valently starlike of order α in the open unit disk E. The object of the present paper is to derive an interesting condition for f (z) to be in the class ᏿ * (p,α). This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution , and reproduction in any ...