Movable poles of the solutions of Painlevé's equation of the third kind and their relation with Mathieu functions

DOI10.1007/BF01077265zbMath0616.34022OpenAlexW1989340385MaRDI QIDQ1821243

Victor Yu. Novokshenov

Publication date: 1986

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077265

zbMATH Keywords

Mathieu equationPainlevé equationsecond order differential equationsmethod of monodromy-deformation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Asymptotic expansions of solutions to ordinary differential equations (34E05) Lamé, Mathieu, and spheroidal wave functions (33E10) General theory for ordinary differential equations (34A99)

Related Items

Quantum spectral problems and isomonodromic deformations, Non-perturbative approaches to the quantum Seiberg-Witten curve, Accessory parameters in confluent Heun equations and classical irregular conformal blocks, Resurgent extrapolation: rebuilding a function from asymptotic data. Painlevé I, Resurgence, Painlevé equations and conformal blocks

Cites Work

• Monodromy- and spectrum-preserving deformations. I
• Stokes multipliers for a class of ordinary differential equations
• Painlevé functions of the third kind
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