Some Formulas for Legendre Functions Induced by the Poisson Transform

Acta Polytechnica

A. I. Nizhnikov¹  I. A. Shilin¹ 

关键词: Legendre functions;    Lorentz group;    Poisson transform;   

DOI  :  

来源: Czech Technical University in Prague, Faculty of M

【 摘 要 】

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.

【 授权许可】

Unknown