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Mathematical Physics
Title: On Airy solutions of P$_\mathrm{II}$ and the complex cubic ensemble of random matrices, II
(Submitted on 5 Mar 2024 (v1), last revised 6 Mar 2024 (this version, v2))
Abstract: We describe the pole-free regions of the one-parameter family of special solutions of P$_\mathrm{II}$, the second Painlev\'e equation, constructed from the Airy functions. This is achieved by exploiting the connection between these solutions and the recurrence coefficients of orthogonal polynomials that appear in the analysis of the ensemble of random matrices corresponding to the cubic potential.
Submission history
From: Maxim Yattselev [view email][v1] Tue, 5 Mar 2024 14:57:23 GMT (5044kb,D)
[v2] Wed, 6 Mar 2024 19:57:15 GMT (5044kb,D)
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