Some generating functions of Laguerre polynomials (Q1094566)

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scientific article; zbMATH DE number 4025844
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Some generating functions of Laguerre polynomials
scientific article; zbMATH DE number 4025844

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    Some generating functions of Laguerre polynomials (English)
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    1987
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    The generating functions are of the form \(\sum^{\infty}_{n=0}a_ nw^ nL^{(\alpha)}_{n+m}(x)\), for fixed m, and \(\alpha\) and general values of the sequence \(\{a_ n\}\). The presentation depends on a certain partial differential operator, and the one-parameter semigroup generated by it.
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    Laguerre polynomials
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    generating functions
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