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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Springer Open
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/24861/ |
| _version_ | 1848845151655428096 |
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| author | Saif, Amin Kilicman, Adem |
| author_facet | Saif, Amin Kilicman, Adem |
| author_sort | Saif, Amin |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T08:42:16Z |
| format | Article |
| id | upm-24861 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:42:16Z |
| publishDate | 2011 |
| publisher | Springer Open |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Saif, Amin Kilicman, Adem On certain subclasses of Meromorphically p-Valent functions associated by the linear operator Dn. |
| title | 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_short | 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. |
| url | http://psasir.upm.edu.my/id/eprint/24861/ http://psasir.upm.edu.my/id/eprint/24861/ http://psasir.upm.edu.my/id/eprint/24861/ |