M. Noumi

activity

19982005

most citedAffine Weyl group approach to Painlevé equations

10 citations · 25 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.QA2000

Askey-Wilson polynomials: an affine Hecke algebraic approach

Masatoshi Noumi, Jasper V. Stokman

We study Askey-Wilson type polynomials using representation theory of the double affine Hecke algebra. In particular, we prove bi-orthogonality relations for non-symmetric and anti…

math.QA1998

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

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…

Askey-Wilson polynomials: an affine Hecke algebraic approach

Higher order Painlevé equations of type Al(1)​

Raising operators of row type for Macdonald polynomials

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