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An investigation on a subclass of p-valently starlike functions in the unit disc

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Author
Polatoğlu, Yaşar
Bolcal, A.
Şen, A.
Yavuz, Emel
Type
Article
Date
2007
Language
en_US
Metadata
Show full item record
Abstract
Let A(p) denote the class of functions of the form f(z) = z(p) +a(p+1)z(p+1)+a(p+2)z(p+2) +... which are regular and p-valent in the open unit disc D = {z : vertical bar z vertical bar < 1}. Let M-p(alpha) be the subclass of A(p) consisting of functions f(z) which satisfy Re(zf'(x)/f(z)) < alpha, (z is an element of D) for some real alpha (alpha > 1). The aim of this paper is to give a representation theorem, a distortion theorem and a coefficient inequality for the class M-p(alpha).
Subject
starlike and convex functions
distortion theorem
coefficient inequality
starlike ve dışbükey fonksiyonlar
distorsiyon teorem
katsayı eşitsizliği
URI
http://hdl.handle.net/11413/1124
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