
%0 Journal Article
%A Kumar, Kailash 
%T Relation Between Polynomials Orthogonal with Respect to a Class of Gaussian Weight Functions
%J Australian Journal of Physics
%D 1980/04/01
%V 33
%N 2
%P 469-478
%K 
%R https://doi.org/10.1071/PH800469B
%U https://www.publish.csiro.au/paper/PH800469B 
%X Polynomials of a three-dimensional vector x, orthogonal with respect to a weight function ~exp( -tx2) and expressed in spherical polar coordinates, are called Burnett functions. The matrix relating the Burnett functions of x = IX(C- W) to those of c is constructed for the case where IX is a real nonsingular 3 x 3 matrix and W is a real vector. These matrices are infinite dimensional, block lower triangular representations of the group whose elements (IX, W) satisfy the composition law 
