The asymptotic iteration method for the angular spheroidal eigenvalues with arbitrary complex size parameter c

Abstract

The asymptotic iteration method is applied, to calculate the angular spheroidal eigenvalues $λ^{m}_{\ell}(c)$ with arbitrary complex size parameter $c$. It is shown that, the obtained numerical results of $λ^{m}_{\ell}(c)$ are all in excellent agreement with the available published data over the full range of parameter values $\ell$, $m$, and $c$. Some representative values of $λ^{m}_{\ell}(c)$ for large real $c$ are also given.