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On certain classes of p-Valent functions by using complex-order and differential subordination.

The aim of the present paper is to study the p-valent analytic functions in the unit disk and satisfy the differential subordinations z(Ip)r, ?(f(z))(j+1)/(p - j)(?p(r, ?)f(z))(j) < (a + (aB + (A- B)ß)z)/a(1 + Bz), where ?p(r, ?) is an operator defined by Salagean and ßis a complex number. Furthe...

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Main Authors: Kilicman, Adem, Tehranchi, Abdolreza
Format: Article
Language:English
English
Published: Hindawi Publishing Corporation 2010
Online Access:http://psasir.upm.edu.my/id/eprint/15892/1/On%20certain%20classes%20of%20p.pdf
http://psasir.upm.edu.my/id/eprint/15892/
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spelling my.upm.eprints.158922015-09-22T08:24:48Z http://psasir.upm.edu.my/id/eprint/15892/ On certain classes of p-Valent functions by using complex-order and differential subordination. Kilicman, Adem Tehranchi, Abdolreza The aim of the present paper is to study the p-valent analytic functions in the unit disk and satisfy the differential subordinations z(Ip)r, ?(f(z))(j+1)/(p - j)(?p(r, ?)f(z))(j) < (a + (aB + (A- B)ß)z)/a(1 + Bz), where ?p(r, ?) is an operator defined by Salagean and ßis a complex number. Further we define a new related integral operator and also study the Fekete-Szego problem by proving some interesting properties. Hindawi Publishing Corporation 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/15892/1/On%20certain%20classes%20of%20p.pdf Kilicman, Adem and Tehranchi, Abdolreza (2010) On certain classes of p-Valent functions by using complex-order and differential subordination. International Journal of Mathematics and Mathematical Sciences, 2010. pp. 1-12. ISSN 0161-1712 10.1155/2010/275935 English
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
description The aim of the present paper is to study the p-valent analytic functions in the unit disk and satisfy the differential subordinations z(Ip)r, ?(f(z))(j+1)/(p - j)(?p(r, ?)f(z))(j) < (a + (aB + (A- B)ß)z)/a(1 + Bz), where ?p(r, ?) is an operator defined by Salagean and ßis a complex number. Further we define a new related integral operator and also study the Fekete-Szego problem by proving some interesting properties.
format Article
author Kilicman, Adem
Tehranchi, Abdolreza
spellingShingle Kilicman, Adem
Tehranchi, Abdolreza
On certain classes of p-Valent functions by using complex-order and differential subordination.
author_facet Kilicman, Adem
Tehranchi, Abdolreza
author_sort Kilicman, Adem
title On certain classes of p-Valent functions by using complex-order and differential subordination.
title_short On certain classes of p-Valent functions by using complex-order and differential subordination.
title_full On certain classes of p-Valent functions by using complex-order and differential subordination.
title_fullStr On certain classes of p-Valent functions by using complex-order and differential subordination.
title_full_unstemmed On certain classes of p-Valent functions by using complex-order and differential subordination.
title_sort on certain classes of p-valent functions by using complex-order and differential subordination.
publisher Hindawi Publishing Corporation
publishDate 2010
url http://psasir.upm.edu.my/id/eprint/15892/1/On%20certain%20classes%20of%20p.pdf
http://psasir.upm.edu.my/id/eprint/15892/
_version_ 1643826060698058752
score 13.160551

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