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An integral representation for the product of two parabolic cylinder functions having unrelated arguments
Published 31 Jan 2015 in math.CA | (1502.00102v1)
Abstract: An integral representation is provided for the parabolic cylinder function product $D_{\mu}(x)D_{\mu}(-y)$ where $Re\,\mu<0$ 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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