An integral representation for the product of two parabolic cylinder functions having unrelated arguments

2015/01/31 by Glasser, M. L.
#33C15 #C3324 #C3345 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1502.00102

Abstract

An integral representation is provided for the parabolic cylinder function product D_μ(x)D_μ(-y) where Re μ<0 and x>y are unrelated. A few simple consequences are given in the form of hyperbolic integrals and a sum rule.

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