Keywords: 33C47; 34M55; 65Q99; Generalized Freud weight; Semiclassical orthogonal polynomials; Recurrence coefficients; Discrete Painlevé equation; Painlevé equation;
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Bäcklund transformations for a new extended Painlevé hierarchy
Keywords: Extended Painleváe hierarchy; Bäcklund transformations; 34M55; 37K35; 37K10; 33E17;
Painlevé equations, topological type property and reconstruction by the topological recursion
Keywords: 34M55; 34M56; 34E20; 60B20; Painlevé equation; Ï-function; Topological recursion; Determinantal formula; WKB method;
On transformations in the Painlevé family
Keywords: 03C60; 12H05; 34M55; Painlevé equations; Backlund transformations; Model theory; Differentially closed field;
The largest eigenvalue distribution of the laguerre unitary ensemble
Keywords: Orthogonal polynomials; Painleve equations; differential equations; 33C45; 34M55;
On an extended second Painlevé hierarchy
Keywords: 34M55; 37K35; 37K10; 33E17; Extended second Painlevé hierarchy; Bäcklund transformations; Nested equations;
Hankel determinants for a singular complex weight and the first and third Painlevé transcendents
Keywords: primary 33E17; 34M55; 41A60Asymptotics; Hankel determinants; Painlevé I equation; Painlevé III equation; Riemann–Hilbert approach
Hamiltonian system for the elliptic form of Painlevé VI equation
Keywords: 34M55; 34M56; 34M35Painlevé VI equation; The elliptic form; Isomonodromy theory; Hamiltonian system
On matrix Painlevé hierarchies
Keywords: 34M55; 37K35; 37K10; 33E17Matrix Painlevé hierarchies; Auto-Bäcklund transformations
Geometric triviality of the strongly minimal second Painlevé equations
Keywords: primary; 03C60; 14H05; 34M55; secondary; 14H70; Second Painlevé equations; Geometric triviality; Model theory; Differential algebra;
Flat meromorphic connections of Frobenius manifolds with tt*-structure
Keywords: 53D45; 34M55; 32Q99; Frobenius manifold; Saito structure; tt*-geometry; CDV-structure; Harmonic Frobenius manifold; Flat meromorphic connection;
Apparent singularities of Fuchsian equations and the Painlevé property for Garnier systems
Keywords: 34M50; 34M55; 32A20; 14H60Inverse monodromy problems; Fuchsian systems; Schlesinger deformations; Painlevé type equations; Movable singularities
Discriminants of Umemura polynomials associated to Painlevé III
Keywords: 34M55; 11B83; 33E30; 34A05; Painlevé equations; Rational solutions; Umemura polynomials; Yablonsky-Vorobiev polynomials; Discriminants; Resultants;