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On certain subclasses of Meromorphically p-Valent functions associated by the linear operator Dn.

The purpose of this paper is to introduce two novel subclasses Γλ(n, α, β) and Γ∗λ(n, α, β) of meromorphic p-valent functions by using the linear operator Dnλ. Then we prove the necessary and sufficient conditions for a function f in order to be in the new classes. Further we study several important...

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Main Authors: Saif, Amin, Kilicman, Adem
Format: Article
Language:English
Published: Springer Open 2011
Online Access:http://psasir.upm.edu.my/id/eprint/24861/
http://www.springeropen.com/
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spelling my.upm.eprints.248612013-08-27T02:50:37Z http://psasir.upm.edu.my/id/eprint/24861/ On certain subclasses of Meromorphically p-Valent functions associated by the linear operator Dn. Saif, Amin Kilicman, Adem The purpose of this paper is to introduce two novel subclasses Γλ(n, α, β) and Γ∗λ(n, α, β) of meromorphic p-valent functions by using the linear operator Dnλ. Then we prove the necessary and sufficient conditions for a function f in order to be in the new classes. Further we study several important properties such as coefficients inequalities, inclusion properties, the growth and distortion theorems, the radii of meromorphically p-valent starlikeness, convexity, and subordination properties. We also prove that the results are sharp for a certain subclass of functions. Springer Open 2011 Article PeerReviewed Saif, Amin and Kilicman, Adem (2011) On certain subclasses of Meromorphically p-Valent functions associated by the linear operator Dn. Journal of Inequalities and Applications, 2011 (401913). pp. 1-16. ISSN 1025-5834; ESSN:1029-242X http://www.springeropen.com/ 10.1155/2011/401913 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
description The purpose of this paper is to introduce two novel subclasses Γλ(n, α, β) and Γ∗λ(n, α, β) of meromorphic p-valent functions by using the linear operator Dnλ. Then we prove the necessary and sufficient conditions for a function f in order to be in the new classes. Further we study several important properties such as coefficients inequalities, inclusion properties, the growth and distortion theorems, the radii of meromorphically p-valent starlikeness, convexity, and subordination properties. We also prove that the results are sharp for a certain subclass of functions.
format Article
author Saif, Amin
Kilicman, Adem
spellingShingle Saif, Amin
Kilicman, Adem
On certain subclasses of Meromorphically p-Valent functions associated by the linear operator Dn.
author_facet Saif, Amin
Kilicman, Adem
author_sort Saif, Amin
title On certain subclasses of Meromorphically p-Valent functions associated by the linear operator Dn.
title_short On certain subclasses of Meromorphically p-Valent functions associated by the linear operator Dn.
title_full On certain subclasses of Meromorphically p-Valent functions associated by the linear operator Dn.
title_fullStr On certain subclasses of Meromorphically p-Valent functions associated by the linear operator Dn.
title_full_unstemmed On certain subclasses of Meromorphically p-Valent functions associated by the linear operator Dn.
title_sort on certain subclasses of meromorphically p-valent functions associated by the linear operator dn.
publisher Springer Open
publishDate 2011
url http://psasir.upm.edu.my/id/eprint/24861/
http://www.springeropen.com/
_version_ 1643828487145914368
score 13.211869

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