Abstract
ABSTRACTRecently, [Veestraeten D. An integral representation for the product of parabolic cylinder functions. Integral Transforms Spec Funct. 2017;28(1):15–21] derived an integral representation for with that was expressed in terms of the Gaussian hypergeometric function. This paper obtains an alternative expression for in which the integrand contains the parabolic cylinder function itself with the condition for convergence being at . The latter property is subsequently used to generate a new integral representation for in which restrictions on the order μ are absent.
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