40 citations · 42 across the 2 of their papers we have counts for
2 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…
math.QA2010★ 40 cited
Kernel function and quantum algebras
B. Feigin, A. Hoshino, J. Shibahara +2
We introduce an analogue of the Cauchy-type kernel function for the Macdonald polynomials, being constructed in the tensor product of the ring of symmetric functions…