3 citations · 5 across the 3 of their papers we have counts for
3 papers
math.CO2014★ 2 cited
Some transformation formulas associated with Askey-Wilson polynomials and Lassalle's formulas for Macdonald-Koornwinder polynomials
A. Hoshino, M. Noumi, J. Shiraishi
We present a fourfold series expansion representing the Askey-Wilson polynomials. To obtain the result, a sequential use is made of several summation and transformation formulas fo…
q-alg1996★ 3 cited
A reproducing kernel for nonsymmetric Macdonald polynomials
K. Mimachi, M. Noumi
We present a new formula of Cauchy type for the nonsymmetric Macdonald polynomials which are joint eigenfunctions of q-Dunkl operators. This gives the explicit formula for a reprod…
q-alg1996
Multivariable Askey-Wilson Polynomials and Quantum Complex Grassmannians
M. Noumi, M. S. Dijkhuizen, T. Sugitani
We present a one-parameter family of constant solutions of the reflection equation and define a family of quantum complex Grassmannians endowed with a transitive action of the quan…