Incomplete gamma and beta



Dear all,

I think Maxima has no implementations of the incomplete gamma and beta 
functions, am I right?

And the Riemann-zeta lacks some values, as well:

(%i1) zeta(2);
					2
				     %PI
(%o1) 				     ----
				      6
(%i2) zeta(3);
(%o2) 				    ZETA(3)
(%i3) %,numer;
(%o3) 				    ZETA(3)

Do you know good maxima or lisp implementations of these special functions?

As long as I need them for my present work on probability distributions, I 
ported two (double precision) algorithms from fortran to maxima: Applied 
Statistics AS239 for the incomplete gamma and the Numerical Recipes version 
for the incomplete beta. Although they work nice for my purely pedagogical 
needs, I think they are not the best choices.

If you are interested, please follow this link to get the source:
http://www.telefonica.net/web2/biomates/maxima/distrib.htm

Gracias - Mario.


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Mario Rodriguez Riotorto
www.biomates.net