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nlin.SI2002★ 20 cited
On a q-difference Painlevé III equation: II. Rational solutions
Kenji Kajiwara
Rational solutions for a -difference analogue of the Painlevé III equation are considered. A Determinant formula of Jacobi-Trudi type for the solutions is constructed.
nlin.SI2002★ 24 cited
On a q-difference Painlevé III equation: I. Derivation, symmetry and Riccati type solutions
Kenji Kajiwara, Kinji Kimura
A q-difference analogue of the Painlevé III equation is considered. Its derivations, affine Weyl group symmetry, and two kinds of special function type solutions are discussed.