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math.QA1998
Remarks on Fermionic Formula
Goro Hatayama, Atsuo Kuniba, Masato Okado +2
Fermionic formulae originate in the Bethe ansatz in solvable lattice models. They are specific expressions of some q-polynomials as sums of products of q-binomial coefficients. We…
math.QA1998
Higher order Painlevé equations of type
Masatoshi Noumi, Yasuhiko Yamada
A series of systems of nonlinear equations with affine Weyl group symmetry of type is studied. This series gives a generalization of Painlevé equations and $P_…
math.QA1998
Determinant formulas for the -functions of the Painlevé equations of type
Yasuhiko Yamada
Explicit determinant formulas are presented for the functions of the generalized Painlevé equations of type . This result allows an interpretation of the -functions as th…