The Fekete-Szegö Problem for p-Valently Janowski Starlike and Convex Functions

For p-valently Janowski starlike and convex functions defined by applying subordination for the generalized Janowski function, the sharp upper bounds of a functional |ap+2−μa2p+1| related to the Fekete-Szegö problem are given.

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Bibliographic Details
Main Authors: Toshio Hayami, Shigeyoshi Owa
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2011/583972
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author Toshio Hayami
Shigeyoshi Owa
author_facet Toshio Hayami
Shigeyoshi Owa
author_sort Toshio Hayami
collection DOAJ
description For p-valently Janowski starlike and convex functions defined by applying subordination for the generalized Janowski function, the sharp upper bounds of a functional |ap+2−μa2p+1| related to the Fekete-Szegö problem are given.
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institution Kabale University
issn 0161-1712
1687-0425
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publishDate 2011-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-1e28822aa39c4afb81de724773bdfa2c2025-02-03T01:02:07ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/583972583972The Fekete-Szegö Problem for p-Valently Janowski Starlike and Convex FunctionsToshio Hayami0Shigeyoshi Owa1School of Science and Technology, Kwansei Gakuin University, Sanda, Hyogo 669-1337, JapanDepartment of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, JapanFor p-valently Janowski starlike and convex functions defined by applying subordination for the generalized Janowski function, the sharp upper bounds of a functional |ap+2−μa2p+1| related to the Fekete-Szegö problem are given.http://dx.doi.org/10.1155/2011/583972
spellingShingle Toshio Hayami
Shigeyoshi Owa
The Fekete-Szegö Problem for p-Valently Janowski Starlike and Convex Functions
International Journal of Mathematics and Mathematical Sciences
title The Fekete-Szegö Problem for p-Valently Janowski Starlike and Convex Functions
title_full The Fekete-Szegö Problem for p-Valently Janowski Starlike and Convex Functions
title_fullStr The Fekete-Szegö Problem for p-Valently Janowski Starlike and Convex Functions
title_full_unstemmed The Fekete-Szegö Problem for p-Valently Janowski Starlike and Convex Functions
title_short The Fekete-Szegö Problem for p-Valently Janowski Starlike and Convex Functions
title_sort fekete szego problem for p valently janowski starlike and convex functions
url http://dx.doi.org/10.1155/2011/583972
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