School of Mathematics and Statistics - Research Publications

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A New Generalisation of Macdonald Polynomials

Garbali, A ; de Gier, J ; Wheeler, M (Springer, 2017-06-01)

We introduce a new family of symmetric multivariate polynomials, whose coefficients are meromorphic functions of two parameters (q, t) and polynomial in a further two parameters (u, v). We evaluate these polynomials explicitly as a matrix product. At u = v = 0 they reduce to Macdonald polynomials, while at q = 0, u = v = s they recover a family of inhomogeneous symmetric functions originally introduced by Borodin.
A Summation Formula for Macdonald Polynomials

de Gier, J ; Wheeler, M (SPRINGER, 2016-03)
Matrix product formula for Macdonald polynomials

Cantini, L ; de Gier, J ; Wheeler, M (IOP PUBLISHING LTD, 2015-09-25)