Sonine Polynomial

A polynomial which differs from the associated Laguerre Polynomial by only a normalization constant,

$$\begin{eqnarray*} S_r^s(x)&=&{1\over s!} e^xx^{-r} {d^s\over dx^s} (e^{-x} x^{r+... ...&=& {1\over s!(r+s)!} x^{-(r+1)/2} e^{x/2} W_{s+r/2+1/2,r/2}(x), \end{eqnarray*}$$

where $W_{k,m}(z)$ is a Whittaker Function.

See also Laguerre Polynomial, Whittaker Function