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Some Formulas for Legendre Functions Induced by the Poisson Transform

By I. A. Shilin and A. I. Nizhnikov

Abstract

Using the Poisson transform, which maps any homogeneous and infinitely differentiable function on a cone into a corresponding function on a hyperboloid, we derive some integral representations of the Legendre functions

Topics: Legendre functions, Lorentz group, Poisson transform
Publisher: 'Czech Technical University in Prague - Central Library'
Year: 2011
OAI identifier: oai:ojs.cvut.cz:article/1368

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