> > Hi folks,

> > I came across a piece of notation that I haven't seen before, and I'm
> > wondering if it has a name.  It's a function denoted (a,n) where n is
> > an integer and a is a real number, usually an integer or half-
> > integer.  (It appears in coefficients for expansions of Bessel
> > functions.)  A couple of equivalent definitions for it are:

> > (a,n) = Gamma(a+n+1/2)/(n! Gamma(a-n+1/2))

>    Hi,

>    In Watson's "Theory of Bessel functions" it appears in page 198 and
> is introduced with the wording "If, following Hankel, we write (v,m)=
> ...= Gamma(v+m+1/2)/(m!*Gamma(v-m+1/2))" so that I had suggested 'Hankel
> symbol' if... it had not been known this way :-) :http://mathworld.wolfram.com/HankelsSymbol.html
>    (unsimplified formulation by the way...)