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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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 |
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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/ |
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13.18916 |