129 citations · 200 across the 10 of their papers we have counts for
10 papers
Branching Formula for -Toda Function of Type B
Ayumu Hoshino, Yusuke Ohkubo, Jun'ichi Shiraishi
We present a proof of the explicit formula for the asymptotically free eigenfunctions of the -Toda operator which was conjectured by the first and third authors. This form…
Branching Rules for Koornwinder Polynomials with One Column Diagrams and Matrix Inversions
Ayumu Hoshino, Jun'ichi Shiraishi
We present an explicit formula for the transition matrix from the type Koornwinder polynomials with one column diagrams, to the type…
Macdonald Polynomials of Type with One-Column Diagrams and Deformed Catalan Numbers
Ayumu Hoshino, Jun'ichi Shiraishi
We present an explicit formula for the transition matrix from the type degeneration of the Koornwinder polynomials with one…
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…
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…
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…