MathGroup Archive 2005

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Re: LegendreP -- up to which order?

I did a lengthy calculation once involving Legendre and other 
polynomials of high order (up in the 60s) and got remarkably accurate 
results (IMHO, anyway).

However I discovered that it made an observable difference at high 
enough orders whether the arguments were integers or reals.  If the 
arguments were reals I could see observable differences between the 
results from two calculations that should theoretically have given 
identical results; but if I entered an argument of 1.001 Pi in the form
1001 Pi/1000, for example, the results of the two alternative 
calculations would agree exactly.

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