Families of Meromorphic Multivalent Functions Associated with the Dziok-Raina Operator
Making use a linear operator, which is defined here by means of the Hadamard product (or convolution), involving the Wright’s generalized hypergeometric function , we introduce two novel subclassesP p(q,s,α1;A,B,λ) andP+p(q,s,α1;A,B,λ) of meromorphically multivalent functions oforder λ(0 ≤ λ <...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2013-07-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://www.etamaths.com/index.php/ijaa/article/view/22 |
| _version_ | 1818411137374355456 |
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| author | G. Murugusundaramoorthy M.K. Aouf |
| author_facet | G. Murugusundaramoorthy M.K. Aouf |
| author_sort | G. Murugusundaramoorthy |
| collection | DOAJ |
| description | Making use a linear operator, which is defined here by means of the Hadamard product (or convolution), involving the Wright’s generalized hypergeometric function , we introduce two novel subclassesP p(q,s,α1;A,B,λ) andP+p(q,s,α1;A,B,λ) of meromorphically multivalent functions oforder λ(0 ≤ λ < p) in the punctured disc U∗. In this paper we investigate the various important properties and characteristics of these subclasses of meromorphically multivalent functions. We extend the familiar concept of neighborhoods of analytic functions to these subclasses of meromorphically multivalent functions . We also derive many interesting results for the Hadamard products of functions belonging to the classP+p(q,s,α1;A,B,λ).<br /> |
| first_indexed | 2024-12-14T10:26:38Z |
| format | Article |
| id | doaj.art-f65467a27032470ebcab997f348a18fb |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-12-14T10:26:38Z |
| publishDate | 2013-07-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-f65467a27032470ebcab997f348a18fb2022-12-21T23:06:19ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392013-07-012111815Families of Meromorphic Multivalent Functions Associated with the Dziok-Raina OperatorG. Murugusundaramoorthy0M.K. Aouf1Dr.G.Murugusundaramoorthy, Ph.D Sr.Professor of Mathematics, School of Advanced Sciences, VIT UNIVERSITY, Vellore-632 014. India ,www.vit.ac.in Email:gms@vit.ac.inM.K.Aouf, Math. Dept., Faculty of Science, Mansoura University, Mansoura 35516, EgyptMaking use a linear operator, which is defined here by means of the Hadamard product (or convolution), involving the Wright’s generalized hypergeometric function , we introduce two novel subclassesP p(q,s,α1;A,B,λ) andP+p(q,s,α1;A,B,λ) of meromorphically multivalent functions oforder λ(0 ≤ λ < p) in the punctured disc U∗. In this paper we investigate the various important properties and characteristics of these subclasses of meromorphically multivalent functions. We extend the familiar concept of neighborhoods of analytic functions to these subclasses of meromorphically multivalent functions . We also derive many interesting results for the Hadamard products of functions belonging to the classP+p(q,s,α1;A,B,λ).<br />http://www.etamaths.com/index.php/ijaa/article/view/22 |
| spellingShingle | G. Murugusundaramoorthy M.K. Aouf Families of Meromorphic Multivalent Functions Associated with the Dziok-Raina Operator International Journal of Analysis and Applications |
| title | Families of Meromorphic Multivalent Functions Associated with the Dziok-Raina Operator |
| title_full | Families of Meromorphic Multivalent Functions Associated with the Dziok-Raina Operator |
| title_fullStr | Families of Meromorphic Multivalent Functions Associated with the Dziok-Raina Operator |
| title_full_unstemmed | Families of Meromorphic Multivalent Functions Associated with the Dziok-Raina Operator |
| title_short | Families of Meromorphic Multivalent Functions Associated with the Dziok-Raina Operator |
| title_sort | families of meromorphic multivalent functions associated with the dziok raina operator |
| url | http://www.etamaths.com/index.php/ijaa/article/view/22 |
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