Two error bounds of the elliptic asymptotics for the fifth Painlevé transcendents
DOI10.2206/KYUSHUJM.78.487MaRDI QIDQ6654969
Publication date: 20 December 2024
Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)
isomonodromy deformationJacobi elliptic functionsmonodromy dataelliptic asymptotic representationfifth Painlevé transcendents
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Elliptic functions and integrals (33E05) 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) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Justification of the asymptotic formulas obtained by the isomonodromic deformation method
- A course of modern analysis. An introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions. 4th ed.
- Vorlesungen über allgemeine Funktionentheorie und elliptische Funktionen. Herausgegeben und ergänzt durch einen Abschnitt über geometrische Funktionentheorie von R. Courant. Mit 122 Textfiguren.
- 2-parameter \(\tau\)-function for the first Painlevé equation: topological recursion and direct monodromy problem via exact WKB analysis
- THE BOUTROUX ANSATZ FOR THE SECOND PAINLEVÉ EQUATION IN THE COMPLEX DOMAIN
- Connection formulae for asymptotics of the fifth Painlevé transcendent on the real axis
- Symmetrization in the geometric theory of functions of a complex variable
- ELLIPTIC ASYMPTOTIC REPRESENTATION OF THE FIFTH PAINLEVÉ TRANSCENDENTS
- CORRIGENDUM: ELLIPTIC ASYMPTOTIC REPRESENTATION OF THE FIFTH PAINLEVÉ TRANSCENDENTS
This page was built for publication: Two error bounds of the elliptic asymptotics for the fifth Painlevé transcendents
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6654969)
