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On some integral transforms of Coulomb functions related to three-dimensional proper Lorentz group

Published 7 Apr 2019 in math.CA | (1904.03729v1)

Abstract: Considering the relationship between two bases in representation space of the three-dimensional proper Lorentz group, we derive some formulas with integrals involving Coulomb wave functions, which can be considered as Fourier, Mellin, $K$-Bessel, Hankel and Mehler-Fock transforms of these functions.

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