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Jack, Hall-Littlewood and Macdonald Polynomials
About this Title
Vadim B. Kuznetsov and Siddhartha Sahi, Editors
Publication: Contemporary Mathematics
Publication Year:
2006; Volume 417
ISBNs: 978-0-8218-3683-5 (print); 978-0-8218-8096-8 (online)
DOI: https://doi.org/10.1090/conm/417
MathSciNet review: 2284114
Table of Contents
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Front/Back Matter
- B. D. Sleeman – Henry Jack 1917–1978 [MR 2283247]
- Alun O. Morris – Philip Hall [MR 2284116]
- Alun O. Morris – Dudley Ernest Littlewood [MR 2284117]
- Alun O. Morris – Ian Macdonald [MR 2284118]
- Edited by Vadim B. Kuznetsov and Siddhartha Sahi – I. G. Macdonald – The algebra of partitions (This article is not available individually due to permission restrictions; to view, see the full volume PDF.) [MR 2284114]
- D. E. Littlewood – On certain symmetric functions [MR 2284120]
- Henry Jack – A class of symmetric polynomials with a parameter [MR 2284121]
- Henry Jack – A class of polynomials in search of a definition, or the symmetric group parametrized [MR 2284122]
- I. G. Macdonald – Commentary on the previous paper: “A class of polynomials in search of a definition, or the symmetric group parametrized” [in Jack, Hall-Littlewood and Macdonald polynomials, 75–106, Contemp. Math., 417, Amer. Math. Soc., Providence, RI, 2006; MR2284122] by H. Jack [MR 2284123]
- Henry Jack – First letter from Henry Jack to G. de B. Robinson [MR 2284124]
- Hasan Coskun and Robert A. Gustafson – Well-poised Macdonald functions $W_\lambda$ and Jackson coefficients $\omega _\lambda$ on $BC_n$ [MR 2284125]
- J. F. van Diejen – Asymptotics of multivariate orthogonal polynomials with hyperoctahedral symmetry [MR 2284126]
- Pavel Etingof and Alexei Oblomkov – Quantization, orbifold cohomology, and Cherednik algebras [MR 2284127]
- Bogdan Ion and Siddhartha Sahi – Triple groups and Cherednik algebras [MR 2284128]
- M. Kasatani, T. Miwa, A. N. Sergeev and A. P. Veselov – Coincident root loci and Jack and Macdonald polynomials for special values of the parameters [MR 2284129]
- Tom H. Koornwinder – Lowering and raising operators for some special orthogonal polynomials [MR 2284130]
- Vadim B. Kuznetsov and Evgeny K. Sklyanin – Factorization of symmetric polynomials [MR 2284131]
- Edwin Langmann – A method to derive explicit formulas for an elliptic generalization of the Jack polynomials [MR 2284132]
- Michel Lassalle – A short proof of generalized Jacobi-Trudi expansions for Macdonald polynomials [MR 2284133]
- Andrei Okounkov and Grigori Olshanski – Limits of $BC$-type orthogonal polynomials as the number of variables goes to infinity [MR 2284134]
- Eric M. Rains – A difference-integral representation of Koornwinder polynomials [MR 2284135]
- Michael Schlosser – Explicit computation of the $q,t$-Littlewood-Richardson coefficients [MR 2284136]
- Vyacheslav P. Spiridonov – A multiparameter summation formula for Riemann theta functions [MR 2284137]
Part 3. Vadim Kuznetsov 1963–2005
- Evgeny Sklyanin and Brian D. Sleeman – Vadim Borisovich Kuznetsov 1963–2005 [MR 2284138]