Publication: λ-fractional properties of generalized Janowski functions in the unit disc
Date
2008
Authors
Çağlar, Mert
Polatoğlu, Yaşar
Yavuz, Emel
Journal Title
Journal ISSN
Volume Title
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Abstract
For analytic function f(z) = z + a2z
2 + · · · in the open unit disc D, a new
fractional operator Dλf(z) is defined. Applying this fractional operator Dλf(z) and the principle
of subordination, we give new proofs for some classical results concerning the class S
∗
λ
(A, B, α) of
functions f(z).
Description
Keywords
Starlike, fractional integral, fractional derivative, distortion theorem