Laguerre's Repeated Fraction

Author

Eric W. Weisstein
October 5, 2008

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Algebra/LaguerresRepeatedFraction.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/LaguerresRepeatedFraction.html.

©2008 Wolfram Research, Inc. except for portions noted otherwise

Continued Fraction

(n/(x+ContinuedFractionK[(n^2)-(k^2),(2k+1)x,{k,∞}]))

{(((((x+1))^n)-(((x-1))^n))/((((x+1))^n)+(((x-1))^n))),(n/(x+ContinuedFractionK[(n^2)-(k^2),(2k+1)x,{k,10}]))}/.{x->.1,n->10}