An example of nonsymmetric semi-classical form of class s=1; generalization of a case of Jacobi sequence
We give explicitly the recurrence coefficients of a nonsymmetric semi-classical sequence of polynomials of class s=1. This sequence generalizes the Jacobi polynomial sequence, that is, we give a new orthogonal sequence {Pˆn(α,α+1)(x,μ)}, where μ is an arbitrary parameter with ℜ(1−μ)>0 in such a w...
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200004671 |
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| _version_ | 1832564162334556160 |
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| author | Mohamed Jalel Atia |
| author_facet | Mohamed Jalel Atia |
| author_sort | Mohamed Jalel Atia |
| collection | DOAJ |
| description | We give explicitly the recurrence coefficients of a nonsymmetric
semi-classical sequence of polynomials of class s=1. This
sequence generalizes the Jacobi polynomial sequence, that is, we
give a new orthogonal sequence {Pˆn(α,α+1)(x,μ)}, where μ is an arbitrary parameter with ℜ(1−μ)>0 in such a way that for μ=0 one has the well-known Jacobi polynomial sequence {Pˆn(α,α+1)(x)}, n≥0. |
| format | Article |
| id | doaj-art-f436e30c655f489192eb655bbef95006 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f436e30c655f489192eb655bbef950062025-02-03T01:11:43ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01241067368910.1155/S0161171200004671An example of nonsymmetric semi-classical form of class s=1; generalization of a case of Jacobi sequenceMohamed Jalel Atia0Faculté des Sciences de Gabès, 6029 Route de Mednine Gabès, TunisiaWe give explicitly the recurrence coefficients of a nonsymmetric semi-classical sequence of polynomials of class s=1. This sequence generalizes the Jacobi polynomial sequence, that is, we give a new orthogonal sequence {Pˆn(α,α+1)(x,μ)}, where μ is an arbitrary parameter with ℜ(1−μ)>0 in such a way that for μ=0 one has the well-known Jacobi polynomial sequence {Pˆn(α,α+1)(x)}, n≥0.http://dx.doi.org/10.1155/S0161171200004671Orthogonal polynomialssemi-classical polynomials. |
| spellingShingle | Mohamed Jalel Atia An example of nonsymmetric semi-classical form of class s=1; generalization of a case of Jacobi sequence International Journal of Mathematics and Mathematical Sciences Orthogonal polynomials semi-classical polynomials. |
| title | An example of nonsymmetric semi-classical form of class s=1; generalization of a case of Jacobi sequence |
| title_full | An example of nonsymmetric semi-classical form of class s=1; generalization of a case of Jacobi sequence |
| title_fullStr | An example of nonsymmetric semi-classical form of class s=1; generalization of a case of Jacobi sequence |
| title_full_unstemmed | An example of nonsymmetric semi-classical form of class s=1; generalization of a case of Jacobi sequence |
| title_short | An example of nonsymmetric semi-classical form of class s=1; generalization of a case of Jacobi sequence |
| title_sort | example of nonsymmetric semi classical form of class s 1 generalization of a case of jacobi sequence |
| topic | Orthogonal polynomials semi-classical polynomials. |
| url | http://dx.doi.org/10.1155/S0161171200004671 |
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