Multiple big q-Jacobi polynomials
Here, we investigate type II multiple big q-Jacobi orthogonal polynomials. We provide their explicit formulae in terms of basic hypergeometric series, raising and lowering operators, Rodrigues formulae, third-order q-difference equation, and we obtain recurrence relations.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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World Scientific Publishing
2020-08-01
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| Series: | Bulletin of Mathematical Sciences |
| Subjects: | |
| Online Access: | http://www.worldscientific.com/doi/pdf/10.1142/S1664360720500137 |
| _version_ | 1818162430119772160 |
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| author | Fethi Bouzeffour Mubariz Garayev |
| author_facet | Fethi Bouzeffour Mubariz Garayev |
| author_sort | Fethi Bouzeffour |
| collection | DOAJ |
| description | Here, we investigate type II multiple big q-Jacobi orthogonal polynomials. We provide their explicit formulae in terms of basic hypergeometric series, raising and lowering operators, Rodrigues formulae, third-order q-difference equation, and we obtain recurrence relations. |
| first_indexed | 2024-12-11T16:33:32Z |
| format | Article |
| id | doaj.art-d776b471b4ec4e058f89e9e1f9f792dc |
| institution | Directory Open Access Journal |
| issn | 1664-3607 1664-3615 |
| language | English |
| last_indexed | 2024-12-11T16:33:32Z |
| publishDate | 2020-08-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | Bulletin of Mathematical Sciences |
| spelling | doaj.art-d776b471b4ec4e058f89e9e1f9f792dc2022-12-22T00:58:33ZengWorld Scientific PublishingBulletin of Mathematical Sciences1664-36071664-36152020-08-011022050013-12050013-1810.1142/S166436072050013710.1142/S1664360720500137Multiple big q-Jacobi polynomialsFethi Bouzeffour0Mubariz Garayev1Department of Mathematics, College of Sciences, King Saud University, P. O. Box 2455 Riyadh 11451, Saudi ArabiaDepartment of Mathematics, College of Sciences, King Saud University, P. O. Box 2455 Riyadh 11451, Saudi ArabiaHere, we investigate type II multiple big q-Jacobi orthogonal polynomials. We provide their explicit formulae in terms of basic hypergeometric series, raising and lowering operators, Rodrigues formulae, third-order q-difference equation, and we obtain recurrence relations.http://www.worldscientific.com/doi/pdf/10.1142/S1664360720500137basic hypergeometric seriesq-difference equationsmultiple orthogonal polynomials |
| spellingShingle | Fethi Bouzeffour Mubariz Garayev Multiple big q-Jacobi polynomials Bulletin of Mathematical Sciences basic hypergeometric series q-difference equations multiple orthogonal polynomials |
| title | Multiple big q-Jacobi polynomials |
| title_full | Multiple big q-Jacobi polynomials |
| title_fullStr | Multiple big q-Jacobi polynomials |
| title_full_unstemmed | Multiple big q-Jacobi polynomials |
| title_short | Multiple big q-Jacobi polynomials |
| title_sort | multiple big q jacobi polynomials |
| topic | basic hypergeometric series q-difference equations multiple orthogonal polynomials |
| url | http://www.worldscientific.com/doi/pdf/10.1142/S1664360720500137 |
| work_keys_str_mv | AT fethibouzeffour multiplebigqjacobipolynomials AT mubarizgarayev multiplebigqjacobipolynomials |