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Parameter Derivatives of the Jacobi Polynomials and the Gaussian Hypergeometric Function. (1994)

Fröhlich, Jochen

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Publikationsdatum: 2014-02-26

Beschreibung: The paper's main result is a simple derivation rule for the Jacobi polynomials with respect to their parameters, i.e. for $\partial_{\alpha} P_n^{\alpha,\beta}$, and $\partial_{\beta} P_n^{\alpha,\beta}$. It is obtained via relations for the Gaussian 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.

Schlagwort(e): ddc:000

Sprache: Englisch

Materialart: reportzib , doc-type:preprint

Format: application/postscript

Format: application/pdf

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