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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




© 1996-9 Eric W. Weisstein
1999-05-26