Hyperbolic Debye asymptotic for Legendre polynomials
= Hyperbolic Debye asymptotic for Legendre polynomials
{c}
For fixed $\xi>0$,
$$
P_n(\cosh\xi)
\sim
\frac{e^{(n+1/2)\xi}}{\sqrt{2\pi n\sinh\xi}}.
$$
= Hyperbolic Debye asymptotic for Legendre polynomials
{c}
For fixed $\xi>0$,
$$
P_n(\cosh\xi)
\sim
\frac{e^{(n+1/2)\xi}}{\sqrt{2\pi n\sinh\xi}}.
$$