Parameter derivatives of the Jacobi polynomials and the Gaussian hypergeometric function:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik Berlin
1994
|
| Schriftenreihe: | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC
1994,15 |
| Schlagwörter: | |
| Abstract: | Abstract: "This paper's main result is a simple derivation rule for the Jacobi polynomials with respect to their parameters, i.e., for A[subscript [alpha]P[subscript n][superscript alpha, beta], and A[subscript beta]P[subscript n][superscript alpha, beta]. It is obtained via relations for the Guassian hypergeometric function concerning parameter derivatives and integer shifts in the first two arguments. These have an interest on their own for further applications to continuous and discrete orthogonal polynomials. The study is motivated by a Galerkin method with moving weight, presents all proofs in detail, and terminates in a brief discussion of the generated polynomials." |
| Umfang: | 14 S. graph. Darst. |
Internformat
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| 100 | 1 | |a Fröhlich, Jochen |d 1961- |e Verfasser |0 (DE-588)113729588 |4 aut | |
| 245 | 1 | 0 | |a Parameter derivatives of the Jacobi polynomials and the Gaussian hypergeometric function |c Jochen Fröhlich |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik Berlin |c 1994 | |
| 300 | |a 14 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1994,15 | |
| 520 | 3 | |a Abstract: "This paper's main result is a simple derivation rule for the Jacobi polynomials with respect to their parameters, i.e., for A[subscript [alpha]P[subscript n][superscript alpha, beta], and A[subscript beta]P[subscript n][superscript alpha, beta]. It is obtained via relations for the Guassian hypergeometric function concerning parameter derivatives and integer shifts in the first two arguments. These have an interest on their own for further applications to continuous and discrete orthogonal polynomials. The study is motivated by a Galerkin method with moving weight, presents all proofs in detail, and terminates in a brief discussion of the generated polynomials." | |
| 650 | 4 | |a Polynomials | |
| 830 | 0 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1994,15 |w (DE-604)BV004801715 |9 1994,15 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006469790 | |
Datensatz im Suchindex
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| author | Fröhlich, Jochen 1961- |
| author_GND | (DE-588)113729588 |
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| author_sort | Fröhlich, Jochen 1961- |
| author_variant | j f jf |
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| id | DE-604.BV009777828 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T09:42:03Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006469790 |
| oclc_num | 32498994 |
| open_access_boolean | |
| owner | DE-12 |
| owner_facet | DE-12 |
| physical | 14 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik Berlin |
| record_format | marc |
| series | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
| series2 | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
| spelling | Fröhlich, Jochen 1961- Verfasser (DE-588)113729588 aut Parameter derivatives of the Jacobi polynomials and the Gaussian hypergeometric function Jochen Fröhlich Berlin Konrad-Zuse-Zentrum für Informationstechnik Berlin 1994 14 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1994,15 Abstract: "This paper's main result is a simple derivation rule for the Jacobi polynomials with respect to their parameters, i.e., for A[subscript [alpha]P[subscript n][superscript alpha, beta], and A[subscript beta]P[subscript n][superscript alpha, beta]. It is obtained via relations for the Guassian hypergeometric function concerning parameter derivatives and integer shifts in the first two arguments. These have an interest on their own for further applications to continuous and discrete orthogonal polynomials. The study is motivated by a Galerkin method with moving weight, presents all proofs in detail, and terminates in a brief discussion of the generated polynomials." Polynomials Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1994,15 (DE-604)BV004801715 1994,15 |
| spellingShingle | Fröhlich, Jochen 1961- Parameter derivatives of the Jacobi polynomials and the Gaussian hypergeometric function Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC Polynomials |
| title | Parameter derivatives of the Jacobi polynomials and the Gaussian hypergeometric function |
| title_auth | Parameter derivatives of the Jacobi polynomials and the Gaussian hypergeometric function |
| title_exact_search | Parameter derivatives of the Jacobi polynomials and the Gaussian hypergeometric function |
| title_full | Parameter derivatives of the Jacobi polynomials and the Gaussian hypergeometric function Jochen Fröhlich |
| title_fullStr | Parameter derivatives of the Jacobi polynomials and the Gaussian hypergeometric function Jochen Fröhlich |
| title_full_unstemmed | Parameter derivatives of the Jacobi polynomials and the Gaussian hypergeometric function Jochen Fröhlich |
| title_short | Parameter derivatives of the Jacobi polynomials and the Gaussian hypergeometric function |
| title_sort | parameter derivatives of the jacobi polynomials and the gaussian hypergeometric function |
| topic | Polynomials |
| topic_facet | Polynomials |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT frohlichjochen parameterderivativesofthejacobipolynomialsandthegaussianhypergeometricfunction |