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Ramanujan Continued Fraction

Let $f(a,b)$ be a Ramanujan Theta Function. Then

\begin{displaymath}
{f(-q,-q^4)\over f(-q^2,-q^3)} = {1\over 1+} {q\over 1+} {q^2\over 1+} {q^3\over 1+\ldots},
\end{displaymath}

where the quantity on the right is a Continued Fraction.

See also Ramanujan Theta Functions




© 1996-9 Eric W. Weisstein
1999-05-25