A Note on Sequence of Functions associated with the Generalized Jacobi polynomial
An attempt is made to introduce and use operational techniques to study about a new sequence of functions containing generalized Jacobi polynomial. Some generating relations, finite summation formulae, explicit representation of a sequence of function $S_{n,\tau ,k}^{(\alpha ,\beta ,\gamma ,\delta )...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Oles Honchar Dnipro National University
2023-12-01
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| Series: | Researches in Mathematics |
| Subjects: | |
| Online Access: | https://vestnmath.dnu.dp.ua/index.php/rim/article/view/411/411 |
| _version_ | 1827398053215076352 |
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| author | D. Waghela S.B. Rao |
| author_facet | D. Waghela S.B. Rao |
| author_sort | D. Waghela |
| collection | DOAJ |
| description | An attempt is made to introduce and use operational techniques to study about a new sequence of functions containing generalized Jacobi polynomial. Some generating relations, finite summation formulae, explicit representation of a sequence of function $S_{n,\tau ,k}^{(\alpha ,\beta ,\gamma ,\delta )} (x;a,u,v)$ associated with the generalized Jacobi polynomial $P_{n,\,\tau }^{\left( {\alpha ,\,\gamma ,\,\beta } \right)} (x)$ have been deduced. |
| first_indexed | 2024-03-08T19:23:02Z |
| format | Article |
| id | doaj.art-f1a21442ff75473b91f49d649655252c |
| institution | Directory Open Access Journal |
| issn | 2664-4991 2664-5009 |
| language | English |
| last_indexed | 2024-03-08T19:23:02Z |
| publishDate | 2023-12-01 |
| publisher | Oles Honchar Dnipro National University |
| record_format | Article |
| series | Researches in Mathematics |
| spelling | doaj.art-f1a21442ff75473b91f49d649655252c2023-12-26T17:34:07ZengOles Honchar Dnipro National UniversityResearches in Mathematics2664-49912664-50092023-12-01312617810.15421/242316A Note on Sequence of Functions associated with the Generalized Jacobi polynomialD. Waghela0S.B. Rao1https://orcid.org/0000-0002-5672-4927Maharaja Sayajirao University of BarodaMaharaja Sayajirao University of BarodaAn attempt is made to introduce and use operational techniques to study about a new sequence of functions containing generalized Jacobi polynomial. Some generating relations, finite summation formulae, explicit representation of a sequence of function $S_{n,\tau ,k}^{(\alpha ,\beta ,\gamma ,\delta )} (x;a,u,v)$ associated with the generalized Jacobi polynomial $P_{n,\,\tau }^{\left( {\alpha ,\,\gamma ,\,\beta } \right)} (x)$ have been deduced.https://vestnmath.dnu.dp.ua/index.php/rim/article/view/411/411jacobi polynomialgeneralized jacobi polynomialgenerating relationsfinite summation formulae |
| spellingShingle | D. Waghela S.B. Rao A Note on Sequence of Functions associated with the Generalized Jacobi polynomial Researches in Mathematics jacobi polynomial generalized jacobi polynomial generating relations finite summation formulae |
| title | A Note on Sequence of Functions associated with the Generalized Jacobi polynomial |
| title_full | A Note on Sequence of Functions associated with the Generalized Jacobi polynomial |
| title_fullStr | A Note on Sequence of Functions associated with the Generalized Jacobi polynomial |
| title_full_unstemmed | A Note on Sequence of Functions associated with the Generalized Jacobi polynomial |
| title_short | A Note on Sequence of Functions associated with the Generalized Jacobi polynomial |
| title_sort | note on sequence of functions associated with the generalized jacobi polynomial |
| topic | jacobi polynomial generalized jacobi polynomial generating relations finite summation formulae |
| url | https://vestnmath.dnu.dp.ua/index.php/rim/article/view/411/411 |
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