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Summation formulae involving the Laguerre polynomial - MaRDI portal

Summation formulae involving the Laguerre polynomial (Q1298660)

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scientific article; zbMATH DE number 1326439
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Summation formulae involving the Laguerre polynomial
scientific article; zbMATH DE number 1326439

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    Summation formulae involving the Laguerre polynomial (English)
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    9 January 2000
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    A general result involving the generalized hypergeometric function is obtained by elementary manipulation of series and with its help a summation formula involving Laguerre polynomials is derived. An interesting special case expressing \(\text{Cos} 2x -\text{Sin} 2n\) in terms of Laguerre polynomials is also given.
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    Kummer's summation theorem
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    generalized hypergeometric function
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    Laguerre polynomial
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