On the monodromy-preserving deformation of a double confluent Heun equation
DOI10.1134/S0081543824040151MaRDI QIDQ6665294
Publication date: 17 January 2025
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Frobenius normtransport equationdouble confluent Heun equationthird Painlevé transcendentisomonodromicitydeformed double confluent Heun equationnondestructive singular point
Linear ordinary differential equations and systems (34A30) Other functions coming from differential, difference and integral equations (33E30) Painlevé-type functions (33E17) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)
Cites Work
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- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III
- Structural theory of special functions
- Painlevé equations and isomonodromic deformations of equations of the Heun class
- Painlevé differential equations in the complex plane
- Painlevé equations -- nonlinear special functions.
- From Heun class equations to Painlevé equations
- Antiquantization as a specific way from the statistical physics to the regular physics
- Painlevé equations as classical analogues of Heun equations
- On families of constrictions in model of overdamped Josephson junction and Painlevé 3 equation*
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