Let A(p) denote the class of functions f (z) = z p + โ n=p+1 a n z n (p โ N = {1, 2, . . .}) which are analytic and p-valent in the unit disc U = {z : |z| < 1}. The objective of the present work is to obtain some convolution properties for the class , where the value ฮฒ is sharp.
A certain class of p-valently analytic functions
โ Scribed by H.M. Srivastava; J. Patel; G.P. Mohapatra
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 568 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
โฆ Synopsis
The object of the present paper is to derive various properties and characteristics of certain subclasses of p-valently analytic functions in the open unit disk by using the techniques involving the Briot-Bouquet differential subordination. The results presented here not only improve and sharpen the earlier works, but they also give rise to a number of new results for simpler function classes. (~) 2005 Elsevier Ltd. All rights reserved.
๐ SIMILAR VOLUMES
The object of the present paper is to prove some properties of a class blp(a) of pvalently a-convex functions in the unit disk. Also, an integral representation for functions belong ing to the class Mp(a) is shown.
## Cauchy-Euler differential equation a b s t r a c t In this paper, the authors prove several coefficient bounds, distortion inequalities of the class S n g (p, ฮป, b, ฮฒ) of p-valent analytic functions of complex order. By making use of the familiar concept of neighborhoods of p-valent analytic fun
We denote by A, the class of all analytic functions f in the unit disc โ = {z โ C : |z| < 1} with the normalization f (0) = f โฒ (0) -1 = 0. For a positive number ฮป > 0, we denote by โ A, such that a 3 -a 2 2 = 0, and satisfying the condition In this paper, we find conditions on ฮป, ฮฑ and ฮณ such tha