Is there an alternative name or representation (no sum, no integral) for
the (ugly) functions defined
in A & S 15.5.17, 15.5.19, and 15.5.21? See
http://www.convertit.com/Go/ConvertIt/Reference/AMS55.ASP?Res=150&Page=564
How do other CAS represent these functions? That is, how do they
represent a fundamental solution
set (FSS) to
x * (1 - x) * 'diff(y,x,2) + (c - (a + b + 1) * x) * 'diff(y,x) - a *
b * y = 0,
when c is an integer? Regardless of a, b, and c, my Macsyma says that the
FSS is
{gauss_a(a,b,c,x), gauss_b(a,b,c,x)}. That's OK, but gauss_a and gauss_b
aren't
documented, and Macsyma isn't able to convert these functions into ones
that it
does know something about even in the easy cases. :(
Barton
PS Would it be possible to include A & S into the Maxima documentation?
See
http://www.convertit.com/Go/ConvertIt/Reference/AMS55_About.ASP. If it
is,
I'm not going to volunteer---it's just a thought.