Resolving singularities and monodromy reduction of Fuchsian connections
DOI10.1007/s00023-021-01049-wzbMath1483.34121arXiv2009.02871OpenAlexW3083609393MaRDI QIDQ2231941
Yik-Man Chiang, Avery Ching, Chiu Yin Tsang
Publication date: 30 September 2021
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.02871
hypergeometric functionapparent singularitiesHeun's differential equationresolving singularitiesFuchsian connectionsmonodromy reduction
Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Lamé, Mathieu, and spheroidal wave functions (33E10) Painlevé-type functions (33E17) Sheaves in algebraic geometry (14F06)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
- Middle convolution and Heun's equation
- Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\)
- Kovacic's algorithm and its application to some families of special functions
- Triangle Fuchsian differential equations with apparent singularities
- Painlevé differential equations in the complex plane
- Apparent singularities of D-finite systems
- Discrete symmetries of systems of isomonodromic deformations of second-order Fuchsian differential equations
- Analytic continuation of eigenvalues of the Lamé operator
- Root asymptotics of spectral polynomials for the Lamé operator
- Equations différentielles à points singuliers réguliers
- Removing Apparent Singularities of Systems of Linear Differential Equations with Rational Function Coefficients
- Symmetries of the Darboux equation
- The solution of a class of free boundary problems
- Heun's equation, generalized hypergeometric function and exceptional Jacobi polynomial
- Two-Dimensional l-Adic Representations of the Fundamental Group of a Curve Over a Finite Field and Automorphic Forms on GL(2)
- P-symbols, Heun Identities, and 3F2 Identities
- The 192 solutions of the Heun equation
- From the Power Function to the Hypergeometric Function
- Applications of Fuchsian differential equations to free boundary problems
- Orthogonal Polynomials and Painlevé Equations
- Removing false singular points as a method of solving ordinary differential equations
- Rigid Local Systems. (AM-139)
- Jointly orthogonal polynomials
- Conformal mappings involving curvilinear quadrangles
- Computational Aspects of Three-Term Recurrence Relations
- CERTAIN EXPANSIONS OF SOLUTIONS OF THE HEUN EQUATION
- The Fuchsian equation of second order with four singularities
This page was built for publication: Resolving singularities and monodromy reduction of Fuchsian connections