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math.CO2014★ 1 cited
Tableau Formulas for One-Row Macdonald Polynomials of Types and
Boris Feigin, Ayumu Hoshino, Masatoshi Noumi +2
We present explicit formulas for the Macdonald polynomials of types and in the one-row case. In view of the combinatorial structure, we call them "tableau formulas". Fo…
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…