Addition formulas for \(q\)-Legendre-type functions (Q1296529)

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scientific article; zbMATH DE number 1319723
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Addition formulas for \(q\)-Legendre-type functions
scientific article; zbMATH DE number 1319723

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    Addition formulas for \(q\)-Legendre-type functions (English)
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    2 August 1999
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    The authors have studied several addition formulas for \(q\)-Legendre-type functions. Use of known product formulas of Askey-Wilson and \(q\)-Racah polynomials has been made, unlike the group-theoretic methods employed earlier by Koelink. The results are too complicated to be quoted here.
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    \(q\)-Legendre polynomials
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    \(q\)-Jacobi polynomials
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    basic hypergeometric series
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    Racah polynomials
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