On integrals involving Hermite polynomials
Copyright policy )On integrals involving Hermite polynomials
We show how the combined use of the generating function method and of the theory of multivariable Hermite polynomials is naturally suited to evaluate integrals of gaussian functions and of multiple products of Hermite polynomials.
4 pages
Hermite polynomials, Applied Mathematics, Exact enumeration problems, generating functions, FOS: Physical sciences, Mathematical Physics (math-ph), integrals, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), generating function, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Integrals, Mathematical Physics, Generating function
Hermite polynomials, Applied Mathematics, Exact enumeration problems, generating functions, FOS: Physical sciences, Mathematical Physics (math-ph), integrals, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), generating function, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Integrals, Mathematical Physics, Generating function
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