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Multivalued starlike functions of complex order

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Author
Polatoğlu, Yaşar
Yavuz, Emel
Çağlar, Mert
Owa, Shigeyoshi
Type
Article
Date
2008
Language
en_US
Metadata
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Abstract
Let S ∗ λ (1−b)(b 6= 0, complex) denote the class of functions f(z) = z+a2z 2+· · · analytic in the open unit disc D = {z ∈ C||z| < 1} which satisfy for z = reiθ ∈ D, f(z) z 6= 0 and Re · 1 + 1 b µ z (Dλ f(z))′ D λ f(z) − 1 ¶¸ > 0 (0 ≤ λ < 1), where Dλ f(z) = Γ(2 − λ)z λD λ z f(z) and Dλ z f(z) is the fractional derivative of f(z). The aim of this paper is to investigate certain properties of the mentioned above class.
Subject
starlike functions of complex order
fractional integral
fractional derivative
distortion theorem
coefficient inequality
URI
https://hdl.handle.net/11413/2651
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  • Makaleler / Articles [209]

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Istanbul Kültür University, Ataköy Campus E5 Karayolu Üzeri Bakırköy 34158, İstanbul / TURKEY
Copyright © İstanbul Kültür University

Creative Commons Lisansı
IKU Institutional Repository, Creative Commons Alıntı-GayriTicari-Türetilemez 4.0 Uluslararası Lisansı ile lisanslanmıştır.

Designed by  UNIREPOS