Solutions of k-Hypergeometric Differential Equations
We solve the second-order linear differential equation called the k-hypergeometric differential equation by using Frobenius method around all its regular singularities. At each singularity, we find 8 solutions corresponding to the different cases for parameters and modified our solutions accordingly...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/128787 |
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| _version_ | 1832567173498798080 |
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| author | Shahid Mubeen Mammona Naz Abdur Rehman Gauhar Rahman |
| author_facet | Shahid Mubeen Mammona Naz Abdur Rehman Gauhar Rahman |
| author_sort | Shahid Mubeen |
| collection | DOAJ |
| description | We solve the second-order linear differential equation called the k-hypergeometric differential equation by using Frobenius method around all its regular singularities. At each singularity, we find 8 solutions corresponding to the different cases for parameters and modified our solutions accordingly. |
| format | Article |
| id | doaj-art-675366a6a1a04dc58015e901570d77be |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-675366a6a1a04dc58015e901570d77be2025-02-03T01:02:09ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/128787128787Solutions of k-Hypergeometric Differential EquationsShahid Mubeen0Mammona Naz1Abdur Rehman2Gauhar Rahman3Department of Mathematics, University of Sargodha, Sargodha 40100, PakistanDepartment of Mathematics, University of Sargodha, Sargodha 40100, PakistanDepartment of Mathematics, University of Sargodha, Sargodha 40100, PakistanDepartment of Mathematics, University of Sargodha, Sargodha 40100, PakistanWe solve the second-order linear differential equation called the k-hypergeometric differential equation by using Frobenius method around all its regular singularities. At each singularity, we find 8 solutions corresponding to the different cases for parameters and modified our solutions accordingly.http://dx.doi.org/10.1155/2014/128787 |
| spellingShingle | Shahid Mubeen Mammona Naz Abdur Rehman Gauhar Rahman Solutions of k-Hypergeometric Differential Equations Journal of Applied Mathematics |
| title | Solutions of k-Hypergeometric Differential Equations |
| title_full | Solutions of k-Hypergeometric Differential Equations |
| title_fullStr | Solutions of k-Hypergeometric Differential Equations |
| title_full_unstemmed | Solutions of k-Hypergeometric Differential Equations |
| title_short | Solutions of k-Hypergeometric Differential Equations |
| title_sort | solutions of k hypergeometric differential equations |
| url | http://dx.doi.org/10.1155/2014/128787 |
| work_keys_str_mv | AT shahidmubeen solutionsofkhypergeometricdifferentialequations AT mammonanaz solutionsofkhypergeometricdifferentialequations AT abdurrehman solutionsofkhypergeometricdifferentialequations AT gauharrahman solutionsofkhypergeometricdifferentialequations |