Contribution for the Summation Formulas for the Generalized Hypergeometric Series F65−1
In this paper, our aim is to provide as many as one hundred and ninety-two summation formulas for the generalized hypergeometric series F65−1 in terms of gamma functions. For this, we have established eight theorems containing general results. This is achieved by means of applying generalized Watson...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/2788208 |
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| _version_ | 1832562308086235136 |
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| author | Prathima Jayarama Dongkyu Lim Arjun Kumar Rathie |
| author_facet | Prathima Jayarama Dongkyu Lim Arjun Kumar Rathie |
| author_sort | Prathima Jayarama |
| collection | DOAJ |
| description | In this paper, our aim is to provide as many as one hundred and ninety-two summation formulas for the generalized hypergeometric series F65−1 in terms of gamma functions. For this, we have established eight theorems containing general results. This is achieved by means of applying generalized Watson’s and Dixon’s summation formulas obtained earlier by Lavoie et al. into a known transformation formula available in the literature. Results obtained earlier by Zhao follows special cases of our main findings. |
| format | Article |
| id | doaj-art-1baaac10546045918fe4c2de1b3942ae |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-1baaac10546045918fe4c2de1b3942ae2025-02-03T01:22:57ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/2788208Contribution for the Summation Formulas for the Generalized Hypergeometric Series F65−1Prathima Jayarama0Dongkyu Lim1Arjun Kumar Rathie2Department of MathematicsDepartment of Mathematics EducationDepartment of MathematicsIn this paper, our aim is to provide as many as one hundred and ninety-two summation formulas for the generalized hypergeometric series F65−1 in terms of gamma functions. For this, we have established eight theorems containing general results. This is achieved by means of applying generalized Watson’s and Dixon’s summation formulas obtained earlier by Lavoie et al. into a known transformation formula available in the literature. Results obtained earlier by Zhao follows special cases of our main findings.http://dx.doi.org/10.1155/2022/2788208 |
| spellingShingle | Prathima Jayarama Dongkyu Lim Arjun Kumar Rathie Contribution for the Summation Formulas for the Generalized Hypergeometric Series F65−1 Journal of Mathematics |
| title | Contribution for the Summation Formulas for the Generalized Hypergeometric Series F65−1 |
| title_full | Contribution for the Summation Formulas for the Generalized Hypergeometric Series F65−1 |
| title_fullStr | Contribution for the Summation Formulas for the Generalized Hypergeometric Series F65−1 |
| title_full_unstemmed | Contribution for the Summation Formulas for the Generalized Hypergeometric Series F65−1 |
| title_short | Contribution for the Summation Formulas for the Generalized Hypergeometric Series F65−1 |
| title_sort | contribution for the summation formulas for the generalized hypergeometric series f65 1 |
| url | http://dx.doi.org/10.1155/2022/2788208 |
| work_keys_str_mv | AT prathimajayarama contributionforthesummationformulasforthegeneralizedhypergeometricseriesf651 AT dongkyulim contributionforthesummationformulasforthegeneralizedhypergeometricseriesf651 AT arjunkumarrathie contributionforthesummationformulasforthegeneralizedhypergeometricseriesf651 |