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Perturbative connection formulas for Heun equations

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arxiv 2208.01604 v2 pith:KVEIXAWJ submitted 2022-08-02 math-ph math.MP

O. Lisovyy , A. Naidiuk This is my paper
classification math-phmath.MP
keywords connectionheunconfluentformulasorderseriestermsallows
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Connection formulas relating Frobenius solutions of linear ODEs at different Fuchsian singular points can be expressed in terms of the large order asymptotics of the corresponding power series. We demonstrate that for the usual, confluent and reduced confluent Heun equation, the series expansion of the relevant asymptotic amplitude in a suitable parameter can be systematically computed to arbitrary order. This allows to check a recent conjecture of Bonelli-Iossa-Panea Lichtig-Tanzini expressing the Heun connection matrix in terms of quasiclassical Virasoro conformal blocks.

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Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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  5. Ergodic Hysteresis of the Kerr black hole spectrum

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