%0 Journal Article
%T Symmetry in Generating Functions
%A Shigeru Watanabe
%J Symmetry
%D 2010
%I MDPI AG
%R 10.3390/sym2010345
%X Generating functions play important roles in theory of orthogonal polynomials. In particular, it is important to consider generating functions that have symmetry. This paper is a survey on generating functions that define unitary operators. First, classical generating functions that define unitary operators are discussed. Next, group theoretical approach to generating functions that have unitarity are discussed.
%K Generating function
%K Orthogonal polynomial
%K Zonal spherical function
%U http://www.mdpi.com/2073-8994/2/1/346