Symmetry in Generating Functions

Symmetry

关键词: Generating function;    Orthogonal polynomial;    Zonal spherical function;   

DOI  :  10.3390/sym2010345

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.