Parameter derivatives of the Jacobi polynomials and the Gaussian hypergeometric function
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...
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| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik Berlin
1994
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| Schriftenreihe: | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC
1994,15 |
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Tag hinzufügen | Zusammenfassung: | 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." |
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| Beschreibung: | 14 S. graph. Darst. |