Discrete Riemann-Hilbert problem and interpolation of entire functions
DOI10.13108/2021-13-2-70zbMath1488.30180OpenAlexW3188363619MaRDI QIDQ5155557
Publication date: 7 October 2021
Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/ufa565
interpolationRiemann-Hilbert problemasymptotic expansionsentire functionsFredholm determinantdiscrete Painlevé equationsinverse scattering problemcanonical product
Approximation in the complex plane (30E10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Meromorphic functions of one complex variable (general theory) (30D30) Lattice dynamics; integrable lattice equations (37K60) Painlevé-type functions (33E17) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)
Cites Work
- Factorization of matrix functions and singular integral operators
- Inverse-scattering problem for a system of differential equations
- Rational surfaces associated with affine root systems and geometry of the Painlevé equations
- Discrete gap probabilities and discrete Painlevé equations.
- Random unitary matrices, permutations and Painlevé
- A Fredholm determinant formula for Toeplitz determinants
- Isomonodromy transformations of linear systems of difference equations
- Discrete integrable equations and special functions
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