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Lebedev identities and integral representations of products of Hermite functions. (English) Zbl 1497.33010

In the paper under review formulas for products of Hermite functions are presented. The products are presented as integral of confluent hypergeometric functions.

MSC:

33C15 Confluent hypergeometric functions, Whittaker functions, \({}_1F_1\)
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
44A10 Laplace transform
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References:

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