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New distortion theorems for Sakaguchi functions

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Author
Çağlar, Mert
Polatoğlu, Yaşar
Type
Article
Date
2007-10
Language
en_US
Metadata
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Abstract
Let A be the class of functions f (z) of the form f (z) = z + Sigma(infinity)(k=2), a(k)z(k) that are analytic in the open unit disk D = {(z) epsilon C | |z| < 1} in 1959, K. Sakaguchi [9] has considered the subclass of A consisting of those f (z) which satisfy Re (zf,(z)/f(z)-f(-z)) > 0, where z E D. We call such a function a "Sakaguchi function", and denote the class of those functions by Ss. Various authors have studied this class ([6, 7, 9, 10]). We obtain new distortion theorems, Koebe domain, k-quasiconformatity, and the radius of convexity for the class S-s.
Subject
Sakaguchi function
starlike function
Koebe domain
k-quasiconformality
Sakaguchi işlevi
starlike fonksiyonu
Koebe alanı
K-kvazi konformluk
URI
http://hdl.handle.net/11413/1010
Collections
  • Makaleler / Articles [209]
  • Scopus Publications [724]
  • WoS Publications [1016]

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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