Some Formulas for Legendre Functions Induced by the Poisson Transform

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.

Bibliographic Details
Main Authors: I. A. Shilin, A. I. Nizhnikov
Format: Article
Language:English
Published: CTU Central Library 2011-01-01
Series:Acta Polytechnica
Subjects:
Online Access:https://ojs.cvut.cz/ojs/index.php/ap/article/view/1368