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Kummer Group

A Group of Linear Fractional Transformations which transform the arguments of Kummer solutions to the Hypergeometric Differential Equation into each other. Define

\begin{eqnarray*}
A(z) &=& 1-z\\
B(z) &=& 1/z,
\end{eqnarray*}



then the elements of the group are $\{I$, $A$, $B$, $AB$, $BA$, $ABA=BAB\}$.




© 1996-9 Eric W. Weisstein
1999-05-26