Publication:
On Janowski starlike functions

Date
2007
Authors
Çağlar, Mert
Polatoğlu, Yaşar
Şen, A.
Yavuz, Emel
Owa, Shigeyoshi
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Volume Title
Publisher
Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland
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Abstract

For analytic functions f(z) in the open unit disc U with f(0) = 0 and f'(0) = 1, applying the fractional calculus for f(z), a new fractional operator D-lambda f(z) is introduced. Further, a new subclass F-lambda()(A, B) consisting of f(z) associated with Janowski function is defined. The objective of the present paper is to discuss some interesting properties of the class F-lambda()(A, B). Copyright (c) 2007.

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Keywords
Starlike functions , fractional calculus
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