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

T. Barakat·K. Abodayeh·B. Abdallah·O. M. Al-Dossary
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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.

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T. Barakat, K. Abodayeh, B. Abdallah, O. M. Al-Dossary. 2005-12-31. The asymptotic iteration method for the angular spheroidal eigenvalues with arbitrary complex size parameter c. https://doi.org/10.1139/p06-007

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