Coefficient inequality for certain $p$-valent analytic functions

Certain Coefficient Bounds for p-Valent Functions

Coefficient Inequalities for a Subclass of p-Valent Analytic Functions

The aim of this paper is to study the problem of coefficient bounds for a newly defined subclass of p-valent analytic functions. Many known results appear as special consequences of our work.

Certain Subclasses of Analytic p-valent Functions with Negative Coefficients

Abstract. The object of the present paper is to study certain subclasses J∗ p (a, b, σ) and Cp(a, b, σ) of analytic p-valent functions, and obtain coefficient bounds and distortion properties for functions belonging to these subclasses. Further results include distortion inequalities and radii of close-toconvexity, starlikeness and convexity for these classes of functions.

Coefficient Inequalities for Certain Analytic Functions

Coefficient bounds for p-valent functions

Sharp bounds for japþ2 lapþ1j and jap+3j are derived for certain p-valent analytic functions. These are applied to obtain Fekete-Szegö like inequalities for several classes of functions defined by convolution. 2006 Elsevier Inc. All rights reserved.