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Distortion estimate and radius of starlikeness for generalized p-valent close-to-star functions

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Author
Özkan, H. Esra
Yavuz Duman, Emel
Type
Article
Date
2013
Language
en_US
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Abstract
Let A(p, n), n ≥ 1, p ≥ 1 be the class of all analytic functions in the open unit disc D = {z| |z| < 1} of the form f(z) = zp + anp+1znp+1 + anp+2znp+2 + ··· . Let g(z) be an element of A(p, n) such that g(z) satisfies the condition Re z g (z) g(z) > 0 for all z ∈ D, we then call g(z) the generalized p−valent starlike function in D. The class of such functions is denoted by S∗(p, n). Let s(z) be an element of A(p, n) and g(z) be an element of S∗(p, n). If the condition Re s(z) g(z) > 0 (z ∈ D), is satisfied then s(z) is called the generalized p−valent close-to-star function in D. The class of such functions is denoted by S∗K(p, n). The aim of this paper is to give a distortion estimation and the radius of starlikeness of the class S∗K(p, n).
Subject
Close-to-star function
the radius of starlikeness
distortion estimate
URI
https://hdl.handle.net/11413/2664
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  • Makaleler / Articles [209]
  • Scopus Publications [724]

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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