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The University of Aizu, Ikki-machi Tsuruga, Aizu-Wakamatsu City, Fukushima 965-8580, Japan





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 Generating function; Orthogonal polynomial; Zonal spherical function





Author: Shigeru Watanabe

Source: http://mdpi.com/



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