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arxiv: 0901.3970 · v1 · submitted 2009-01-26 · 🧮 math-ph · math.CA· math.MP

Integrals of products of Hermite functions

classification 🧮 math-ph math.CAmath.MP
keywords functionshermiteintegralsproductsasymptoticsbelowcomputecorresponding
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We compute the integrals of products of Hermite functions using the generating functions. The precise asymptotics of 4 Hermite functions are presented below. This estimate is relevant for the corresponding cubic nonlinear equation.

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