Symmetry 2010, 2(1), 346-365; doi:10.3390/sym2010345

Symmetry in Generating Functions

Received: 23 February 2010; Accepted: 16 March 2010 / Published: 19 March 2010
(This article belongs to the Special Issue Feature Papers: Symmetry Concepts and Applications)
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: 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.
Keywords: Generating function; Orthogonal polynomial; Zonal spherical function
PDF Full-text Download PDF Full-Text [163 KB, Updated Version, uploaded 6 April 2010 08:43 CEST]
The original version is still available [163 KB, uploaded 22 March 2010 13:47 CET]

Export to BibTeX |

MDPI and ACS Style

Watanabe, S. Symmetry in Generating Functions. Symmetry 2010, 2, 346-365.

AMA Style

Watanabe S. Symmetry in Generating Functions. Symmetry. 2010; 2(1):346-365.

Chicago/Turabian Style

Watanabe, Shigeru. 2010. "Symmetry in Generating Functions." Symmetry 2, no. 1: 346-365.

Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert