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Explicit evaluation of the Stokes matrices for certain quantum confluent hypergeometric equations

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arxiv 2401.13911 v1 pith:UMDAOKS2 submitted 2024-01-25 math.CA math-phmath.MPmath.RT

Jinghong Lin , Xiaomeng Xu This is my paper · ORCID
classification math.CAmath-phmath.MPmath.RT
keywords stokesconfluenthypergeometricmatricesquantumsystemtheorycertain
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In this paper, we compute the Stokes matrices of a special quantum confluent hypergeometric system with Poincar\'e rank one. The sources of the interests in the Stokes phenomenon of such system are from representation theory and the theory of isomonodromy deformation.

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  1. Explicit evaluation of the $q$-Stokes matrices for certain confluent hypergeometric $q$-difference equations

    math.CA 2024-12 conditional novelty 6.0 of 10

    The authors compute explicit q-Stokes matrices for a confluent hypergeometric q-difference system and prove that the q-to-1 limit recovers classical Stokes matrices in a selected sector.

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