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Positive Gegenbauer Polynomial Sums and Applications to Starlike Functions

โœ Scribed by Stamatis Koumandos; Stephan Ruscheweyh


Book ID
106045630
Publisher
Springer
Year
2004
Tongue
English
Weight
169 KB
Volume
23
Category
Article
ISSN
0176-4276

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Let A be the class of analytic functions in the open unit disk U. Given 0 ~ A < 1, let ~x be the operator defined on ,4 by where D~I is the fractional derivative of f of order A. A function f in ,4 is said to be in the class SPx if ~Af is a parabolic starlike function. In this paper, several basic