Geodesic
JACK–LAURENT SYMMETRIC FUNCTIONS FOR SPECIAL VALUES OF PARAMETERS
Glasgow mathematical journal, Tome 58 (2016) no. 3, pp. 599-616

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DOI

We consider the Jack–Laurent symmetric functions for special values of parameters p 0=n+k −1 m, where k is not rational and m and n are natural numbers. In general, the coefficients of such functions may have poles at these values of p 0. The action of the corresponding algebra of quantum Calogero–Moser integrals $\mathcal{D}$ (k, p 0) on the space of Laurent symmetric functions defines the decomposition into generalised eigenspaces. We construct a basis in each generalised eigenspace as certain linear combinations of the Jack–Laurent symmetric functions, which are regular at p 0=n+k −1 m, and describe the action of $\mathcal{D}$ (k, p 0) in these eigenspaces. 
SERGEEV, A. N.; VESELOV, A. P. JACK–LAURENT SYMMETRIC FUNCTIONS FOR SPECIAL VALUES OF PARAMETERS. Glasgow mathematical journal, Tome 58 (2016) no. 3, pp. 599-616. doi: 10.1017/S0017089515000361
@article{10_1017_S0017089515000361,
     author = {SERGEEV, A. N. and VESELOV, A. P.},
     title = {JACK{\textendash}LAURENT {SYMMETRIC} {FUNCTIONS} {FOR} {SPECIAL} {VALUES} {OF} {PARAMETERS}},
     journal = {Glasgow mathematical journal},
     pages = {599--616},
     year = {2016},
     volume = {58},
     number = {3},
     doi = {10.1017/S0017089515000361},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089515000361/}
}
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