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Laguerre's Repeated Fraction

The Continued Fraction

\begin{displaymath}
{(x+1)^n-(x-1)^n\over (x+1)^n+(x-1)^n}= {n\over x+}{n^2-1\over 3x+}{n^2-2^2\over 5x+\ldots}.
\end{displaymath}


References

Hardy, G. H. Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work, 3rd ed. New York: Chelsea, p. 13, 1959.




© 1996-9 Eric W. Weisstein
1999-05-26