Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function
In the present paper, we give sufficient conditions for a function f to be in the subclasses ΣS*a,s (A. B, α, β) and ΣKa,s (A, B, α, β) of the class Σ of meromorphic functions which are analytic in the punctured unit disk U*. We further investigate the ratio of a function related to the Hurwitz-Lerc...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Sciendo
2015-06-01
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| Series: | Moroccan Journal of Pure and Applied Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.7603/s40956-015-0003-8 |
| _version_ | 1818749610451009536 |
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| author | Srivastava H. M. Gaboury S. Ghanim F. |
| author_facet | Srivastava H. M. Gaboury S. Ghanim F. |
| author_sort | Srivastava H. M. |
| collection | DOAJ |
| description | In the present paper, we give sufficient conditions for a function f to be in the subclasses ΣS*a,s (A. B, α, β) and ΣKa,s (A, B, α, β) of the class Σ of meromorphic functions which are analytic in the punctured unit disk U*. We further investigate the ratio of a function related to the Hurwitz-Lerch zeta function and its sequence of partial sums. |
| first_indexed | 2024-12-18T04:06:31Z |
| format | Article |
| id | doaj.art-ca65e704eefd4740879b7713494f2241 |
| institution | Directory Open Access Journal |
| issn | 2351-8227 |
| language | English |
| last_indexed | 2024-12-18T04:06:31Z |
| publishDate | 2015-06-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Moroccan Journal of Pure and Applied Analysis |
| spelling | doaj.art-ca65e704eefd4740879b7713494f22412022-12-21T21:21:35ZengSciendoMoroccan Journal of Pure and Applied Analysis2351-82272015-06-0111385010.7603/s40956-015-0003-8Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta FunctionSrivastava H. M.0Gaboury S.1Ghanim F.2Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, CanadaDepartment of Mathematics and Computer Science, University of Québec at Chicoutimi, Chicoutimi, Québec G7H 2B1, CanadaDepartment of Mathematics, College of Sciences, University of Sharjah, Sharjah, United Arab EmiratesIn the present paper, we give sufficient conditions for a function f to be in the subclasses ΣS*a,s (A. B, α, β) and ΣKa,s (A, B, α, β) of the class Σ of meromorphic functions which are analytic in the punctured unit disk U*. We further investigate the ratio of a function related to the Hurwitz-Lerch zeta function and its sequence of partial sums.https://doi.org/10.7603/s40956-015-0003-8analytic functionspartial sumsmeromorphic functionsintegral operatorsmeromorphic starlike functionsmeromorphic convex functionsmeromorphic closeto- convex functionshurwitz-lerch zeta functionhadamard product |
| spellingShingle | Srivastava H. M. Gaboury S. Ghanim F. Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function Moroccan Journal of Pure and Applied Analysis analytic functions partial sums meromorphic functions integral operators meromorphic starlike functions meromorphic convex functions meromorphic closeto- convex functions hurwitz-lerch zeta function hadamard product |
| title | Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function |
| title_full | Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function |
| title_fullStr | Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function |
| title_full_unstemmed | Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function |
| title_short | Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function |
| title_sort | partial sums of certain classes of meromorphic functions related to the hurwitz lerch zeta function |
| topic | analytic functions partial sums meromorphic functions integral operators meromorphic starlike functions meromorphic convex functions meromorphic closeto- convex functions hurwitz-lerch zeta function hadamard product |
| url | https://doi.org/10.7603/s40956-015-0003-8 |
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