- School of Mathematics and Statistics - Research Publications
School of Mathematics and Statistics - Research Publications
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ItemA New Generalisation of Macdonald PolynomialsGarbali, 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.
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ItemA Summation Formula for Macdonald Polynomialsde Gier, J ; Wheeler, M (SPRINGER, 2016-03)
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ItemThe Critical Fugacity for Surface Adsorption of Self-Avoiding Walks on the Honeycomb Lattice isBeaton, NR ; Bousquet-Melou, M ; de Gier, J ; Duminil-Copin, H ; Guttmann, AJ (SPRINGER, 2014-03)
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ItemMatrix product formula for Macdonald polynomialsCantini, L ; de Gier, J ; Wheeler, M (IOP PUBLISHING LTD, 2015-09-25)