Date: Aug 31, 1996 12:40 AM
Author: AES
Subject: Best ("Most Standard") Choice for LegendreType?
I'm writing up an engineering analysis in which the results are

expressed in terms of Legendre polynomials LegendreP[n,m,z] with z real

and >1, that is, outside the more common -1<z<1 range.

I realize that there are multiple choices used in the literature, and

that in the region of interest to me the only difference is the phase

angle of the answer; but would anyone want to recommend a "preferred

choice" or "most common choice" as between LegendreType->Real or Complex?

I'm influenced myself by the fact that formula 8.6.16 on page 334 of

Abramowitz and Stegun seems to match up with the Complex and not the Real

type; but are there any counterarguments? On the other hand Mathematica's

default is Real, not Complex. Any other arguments either way?