On a q-difference Painlevé III equation: II. Rational solutions

Abstract

Rational solutions for a $q$-difference analogue of the Painlevé III equation are considered. A Determinant formula of Jacobi-Trudi type for the solutions is constructed.

Archive version is already official. Published by JNMP at http://www.sm.luth.se/math/JNMP/

References in corpus (3)

• A study on the fourth q-Painlevé equation
• On a q-difference Painlevé III equation: I. Derivation, symmetry and Riccati type solutions
• On the Rational Solutions of q-Painlevé V Equation

Cited by in corpus (7)

• Geometric Aspects of Painlevé Equations
• Hypergeometric solutions to the q-Painlevé equation of type $A_4^{(1)}$
• Projective reduction of the discrete Painlevé system of type $(A_2+A_1{)}^{(1)}$
• Classical Solutions of the Degenerate Fifth Painlevé Equation
• A Constructive Proof for the Umemura Polynomials of the Third Painlevé Equation
• Rational solutions of the discrete time Toda lattice and the alternate discrete Painleve II equation
• Construction of Hypergeometric Solutions to the q-Painlevé Equations