On Certain Classes of p-Valent Functions by Using Complex-Order and Differential Subordination

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,λ)f(z))(j+1)/(p-j)(Ip(r,λ)f(z))(j)≺(a+(aB+(A-B)β)z)/a(1+Bz), where Ip(r,λ) is an operator defined by Sălăgean and β is a complex number. Further we define a...

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Main Authors: Abdolreza Tehranchi, Adem Kılıçman
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2010/275935
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spelling doaj-81764c594a8349989abf1866283bf1472020-11-24T22:26:04ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/275935275935On Certain Classes of p-Valent Functions by Using Complex-Order and Differential SubordinationAbdolreza Tehranchi0Adem Kılıçman1Department of Mathematics, Islamic Azad University, South Tehran Branch, Tehran, IranDepartment of Mathematics and Institute for Mathematical Research, University Putra Malaysia (UPM), Serdang, Selangor 43400, MalaysiaThe 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,λ)f(z))(j+1)/(p-j)(Ip(r,λ)f(z))(j)≺(a+(aB+(A-B)β)z)/a(1+Bz), where Ip(r,λ) is an operator defined by Sălăgean and β is a complex number. Further we define a new related integral operator and also study the Fekete-Szego problem by proving some interesting properties.http://dx.doi.org/10.1155/2010/275935
collection DOAJ
language English
format Article
sources DOAJ
author Abdolreza Tehranchi
Adem Kılıçman
spellingShingle Abdolreza Tehranchi
Adem Kılıçman
On Certain Classes of p-Valent Functions by Using Complex-Order and Differential Subordination
International Journal of Mathematics and Mathematical Sciences
author_facet Abdolreza Tehranchi
Adem Kılıçman
author_sort Abdolreza Tehranchi
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 Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2010-01-01
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,λ)f(z))(j+1)/(p-j)(Ip(r,λ)f(z))(j)≺(a+(aB+(A-B)β)z)/a(1+Bz), where Ip(r,λ) is an operator defined by Sălăgean and β is a complex number. Further we define a new related integral operator and also study the Fekete-Szego problem by proving some interesting properties.
url http://dx.doi.org/10.1155/2010/275935
work_keys_str_mv AT abdolrezatehranchi oncertainclassesofpvalentfunctionsbyusingcomplexorderanddifferentialsubordination
AT ademkılıcman oncertainclassesofpvalentfunctionsbyusingcomplexorderanddifferentialsubordination
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