M. Noumi

activity

19952021

most citedAffine Weyl groups, discrete dynamical systems and Painleve equations

101 citations · 758 across the 43 of their papers we have counts for

collaborators

Showing 1998Show all

3 papers · 1 filter

math.QA1998★ 97 cited

Higher order Painlevé equations of type $A_{l}^{(1)}$

Masatoshi Noumi, Yasuhiko Yamada

A series of systems of nonlinear equations with affine Weyl group symmetry of type $A_{l}^{(1)}$ is studied. This series gives a generalization of Painlevé equations $P_{I V}$ and $P_…

math.QA1998★ 101 cited

Affine Weyl groups, discrete dynamical systems and Painleve equations

Masatoshi Noumi, Yasuhiko Yamada

A new class of representations of affine Weyl groups on rational functions are constructed, in order to formulate discrete dynamical systems associated with affine root systems. As…

math.QA1998★ 4 cited

Raising operators of row type for Macdonald polynomials

Yasushi Kajihara, Masatoshi Noumi

Raising operators of row type are constructed by means of an interpolation method. These are a dual version of the raising operators of column type by A.N.Kirillov and M.Noumi. An…

Higher order Painlevé equations of type Al(1)​

Affine Weyl groups, discrete dynamical systems and Painleve equations

Raising operators of row type for Macdonald polynomials

Higher order Painlevé equations of type $A_{l}^{(1)}$