The coefficients of differentiated expansions and derivatives of ultraspherical polynomials (Q757661)
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scientific article; zbMATH DE number 4192128
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The coefficients of differentiated expansions and derivatives of ultraspherical polynomials |
scientific article; zbMATH DE number 4192128 |
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The coefficients of differentiated expansions and derivatives of ultraspherical polynomials (English)
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1991
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Formulas for the differentiated expansions of functions in terms of ultrspherical polynomials (Gegenbauer polynomials) are given. The special cases of Chebyshev and Legendre polynomials are considered. An application is described of how to use the results for solving numerically ordinary and partial differential equations.
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differentiated expansions
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ultrspherical polynomials
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Gegenbauer polynomials
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