Linearization formulae for certain Jacobi polynomials (Q2634573)
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| Language | Label | Description | Also known as |
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| English | Linearization formulae for certain Jacobi polynomials |
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Linearization formulae for certain Jacobi polynomials (English)
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16 February 2016
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A new linearization formula for the product of two Jacobi polynomials in terms of ultraspherical polynomials is derived. The coefficients involve a terminating \({}_5 F_4\) hypergeometric series. Using Zeilberger's algorithm for this hypergeometric series, several nice linearization formulas for special cases of the Jacobi polynomials are obtained.
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linearization problems
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Jacobi polynomials
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generalized hypergeometric functions
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Zeilberger algorithms
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