On formal series solutions to 4th-order quadratic homogeneous differential equations and their convergence
DOI10.1088/1361-6544/ad7773zbMATH Open1547.34132MaRDI QIDQ6623081
Publication date: 23 October 2024
Published in: Nonlinearity (Search for Journal in Brave)
Power series (including lacunary series) in one complex variable (30B10) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Painlevé-type functions (33E17)
Cites Work
- Bilinear equations on Painlevé \(\tau\) functions from CFT
- Monodromy problem and the boundary condition for some Painlevé equations
- On Painlevé/gauge theory correspondence
- Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions
- Isomonodromic tau-functions from Liouville conformal blocks
- How instanton combinatorics solves Painlevé VI, V and IIIs
- On the convergence of generalized power series satisfying an algebraic ODE
- Connection Problem for the Sine-Gordon/Painlevé III Tau Function and Irregular Conformal Blocks: Fig. 1.
- On the connection problem for Painlevé I
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