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Some convolution properties of a certain class of -valent analytic functions

โœ 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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โœฆ Synopsis


Let A(p) denote the class of functions f (z) = z p + โˆž n=p+1 a n z n (p โˆˆ 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.


๐Ÿ“œ SIMILAR VOLUMES


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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

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We denote by A, the class of all analytic functions f in the unit disc โˆ† = {z โˆˆ C : |z| < 1} with the normalization f (0) = f โ€ฒ (0) -1 = 0. For a positive number ฮป > 0, we denote by โˆˆ 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