Representations of Groups of Third Order Triangular Matrices, the Confluent Hypergeometric Function, and Related Polynomials and Functions
Chapter
Abstract
In section 5.1 we shall study representations of the group G of third order real triangular matrices .
$$
g \equiv g\left( {a,b,d,\tau } \right) = \left( {\begin{array}{*{20}c}
1 & a & b \\
0 & {e^\tau } & d \\
0 & 0 & 1 \\
\end{array} } \right),a,b,d,\tau \in \mathbb{R}
$$
(1)
Keywords
Recurrence Relation Inversion Formula Hermite Polynomial Laguerre Polynomial Addition Theorem
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Copyright information
© Springer Science+Business Media Dordrecht 1991