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Non-perturbative asymptotics of the eigenvalues of the spheroidal equation
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New non-perturbative results on the eigenvalues of the spheroidal equation are presented. The results, found using an all orders WKB analysis, include a perturbative/non-perturbative (P/NP) relation as well as the first exponential correction to the perturbative series which is valid in certain regions of parameters. The quantum periods are also computed.
Forward citations
Cited by 2 Pith papers
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Analytic approaches to perturbations of strongly coupled Yang-Mills plasma
Seiberg-Witten instanton expansions combined with exact WKB period integrals allow analytic computation and continuation of quasinormal modes from large q to q=0.
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Analytic approaches to perturbations of strongly coupled Yang-Mills plasma
Scalar-channel quasinormal modes of the planar AdS5 black brane are captured across all wave numbers by exact WKB quantisation, transseries resummation, and Seiberg–Witten analytic continuation, with resummed large-q ...
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