A New Generalisation of Macdonald Polynomials

作者:Garbali Alexandr*; de Gier Jan; Wheeler Michael
来源:Communications in Mathematical Physics, 2017, 352(2): 773-804.
DOI:10.1007/s00220-016-2818-1

摘要

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.

  • 出版日期2017-6