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Lambda Hypergeometric Function


\begin{displaymath}
\lambda(t)=16 q\prod_{n=1}^\infty \left({1+q^{2n}\over 1+q^{2n-1}}\right)^8,
\end{displaymath} (1)

where $q$ is the Nome. The lambda hypergeometric functions satisfy the recurrence relationships
$\displaystyle \lambda(t+2)$ $\textstyle =$ $\displaystyle \lambda(t)$ (2)
$\displaystyle \lambda\left({t\over 2t+1}\right)$ $\textstyle =$ $\displaystyle \lambda(t).$ (3)




© 1996-9 Eric W. Weisstein
1999-05-26