Connection coefficients, orthogonal polynomials and the WZ-algorithms (Q1817802)
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scientific article; zbMATH DE number 1382974
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Connection coefficients, orthogonal polynomials and the WZ-algorithms |
scientific article; zbMATH DE number 1382974 |
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Connection coefficients, orthogonal polynomials and the WZ-algorithms (English)
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13 February 2000
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In this paper the relationship between the coefficients of the expansion of a function \(f(x)\) and the function \((1-x)^mf(z)\), \(m\) a positive integer, into series of orthogonal polynomials is investigated. In particular the Jacobi and the Gegenbauer polynomials are considered. Of importance for the calculation are Wilf-Zeilenberger algorithms. Several examples are added.
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connection coefficients
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orthogonal polynomials
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Wilf-Zeilenberger algorithms
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