Connection Problem of the First Painlevé Transcendent Between Poles and Negative Infinity
DOI10.1137/21m1465251arXiv2112.09528OpenAlexW4388226597MaRDI QIDQ6086802
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Publication date: 10 November 2023
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.09528
Airy functionuniform asymptoticsparabolic cylinder functionfirst Painlevé transcendentconnection formulatritronquée solution
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)
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