# §33.18 Limiting Forms for Large $\ell$

As $\ell\to\infty$ with $\epsilon$ and $r$ ($\neq 0$) fixed,

 33.18.1 $\displaystyle\mathop{f\/}\nolimits\!\left(\epsilon,\ell;r\right)$ $\displaystyle\sim\frac{(2r)^{\ell+1}}{(2\ell+1)!},$ $\displaystyle\mathop{h\/}\nolimits\!\left(\epsilon,\ell;r\right)$ $\displaystyle\sim\frac{(2\ell)!}{\pi(2r)^{\ell}}.$