Some convolution properties of a certain class of -valent analytic functions
โ Scribed by M.K. Aouf; Yi Ling
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 312 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
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.
๐ SIMILAR VOLUMES
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
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