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Differential equations of some orthogonal families in REDUCE - MaRDI portal

Differential equations of some orthogonal families in REDUCE (Q1263927)

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scientific article; zbMATH DE number 4128287
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Differential equations of some orthogonal families in REDUCE
scientific article; zbMATH DE number 4128287

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    Differential equations of some orthogonal families in REDUCE (English)
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    1989
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    The authors consider the particular class of polynomials which are orthogonal with respect to a weight when this is the product of a classical weight (Laguerre, Hermite and Jacobi) and an arbitrary polynomial. They present a REDUCE package which supplies the second order differential equation satisfied by this class of polynomials. An example in the Legendre case is given.
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    orthogonal polynomials
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    Legendre polynomials
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    REDUCE package
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