-
1
-
-
84966223268
-
A q-beta integral on the unit circle and some biorthogonal rational functions
-
MR 1215197
-
W. A. AL-SALAM and M. E. H. ISMAIL, A q-beta integral on the unit circle and some biorthogonal rational functions, Proc. Amer. Math. Soc. 121 (1994), 553-561. MR 1215197
-
(1994)
Proc. Amer. Math. Soc.
, vol.121
, pp. 553-561
-
-
Al-Salam, W.A.1
Ismail, M.E.H.2
-
2
-
-
0001308382
-
Some basic hypergeometric orthogonal polynomials that generalize jacobi polynomials
-
MR 0783216
-
R. ASKEY and J. WILSON, Some Basic Hypergeometric Orthogonal Polynomials That Generalize Jacobi Polynomials, Mem. Amer. Math. Soc. 54 (1985), no. 319. MR 0783216
-
(1985)
Mem. Amer. Math. Soc.
, vol.54
, Issue.319
-
-
Askey, R.1
Wilson, J.2
-
4
-
-
56549120374
-
n
-
to appear in Jack, Hall-Littlewood and Macdonald Polynomials, Amer. Math. Soc., Providence
-
n" to appear in Jack, Hall-Littlewood and Macdonald Polynomials, Contemp. Math., Amer. Math. Soc., Providence.
-
Contemp. Math.
-
-
Coskun, H.1
Gustafson, R.A.2
-
5
-
-
0003192389
-
Exactly solvable SOS models, II: Proof of the star-triangle relation and combinatorial identities
-
Conformal Field Theory and Solvable Lattice Models (Kyoto, 1986), Academic Press, Boston. MR 0972992
-
E. DATE, M. JIMBO, A. KUNIBA, T. MIWA, and M. OKADO, "Exactly solvable SOS models, II: Proof of the star-triangle relation and combinatorial identities" in Conformal Field Theory and Solvable Lattice Models (Kyoto, 1986), Adv. Stud. Pure Math. 16, Academic Press, Boston, 1988, 17-122. MR 0972992
-
(1988)
Adv. Stud. Pure Math.
, vol.16
, pp. 17-122
-
-
Date, E.1
Jimbo, M.2
Kuniba, A.3
Miwa, T.4
Okado, M.5
-
6
-
-
0041112892
-
Self-dual Koornwinder-Macdonald polynomials
-
MR 1411136
-
J. F. VAN DIEJEN, Self-dual Koornwinder-Macdonald polynomials, Invent. Math. 126 (1996), 319-339. MR 1411136
-
(1996)
Invent. Math.
, vol.126
, pp. 319-339
-
-
Van Diejen, J.F.1
-
7
-
-
0001432807
-
Elliptic solutions of the Yang-Baxter equation and modular hypergeometric functions
-
Birkhäuser, Boston. MR 1429892
-
I. B. FRENKEL and V. G. TURAEV, "Elliptic solutions of the Yang-Baxter equation and modular hypergeometric functions" in The Arnold-Gelfand Mathematical Seminars, Birkhäuser, Boston, 1997, 171 -204. MR 1429892
-
(1997)
The Arnold-Gelfand Mathematical Seminars
, pp. 171-204
-
-
Frenkel, I.B.1
Turaev, V.G.2
-
8
-
-
10644251367
-
Explicit plethystic formulas for Macdonald q,t-Kostka coefficients
-
The Andrews Festschrift (Maratea, Italy, 1998), Univ. Louis Pasteur, Strasbourg, France, art. B42m. MR 1701592
-
A. M. GARSIA, M. HAIMAN, and G. TESLER, "Explicit plethystic formulas for Macdonald q,t-Kostka coefficients" in The Andrews Festschrift (Maratea, Italy, 1998), Sém. Lothar. Combin. 42, Univ. Louis Pasteur, Strasbourg, France, 1999, art. B42m. MR 1701592
-
(1999)
Sém. Lothar. Combin.
, vol.42
-
-
Garsia, A.M.1
Haiman, M.2
Tesler, G.3
-
9
-
-
0031444933
-
Symmetric and non-symmetric quantum Capelli polynomials
-
MR 1456318
-
F. KNOP, Symmetric and non-symmetric quantum Capelli polynomials, Comment. Math. Helv. 72 (1997), 84-100. MR 1456318
-
(1997)
Comment. Math. Helv.
, vol.72
, pp. 84-100
-
-
Knop, F.1
-
10
-
-
0000515270
-
Askey-Wilson polynomials for root systems of type BC
-
Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications (Tampa, Fla., 1991), Amer. Math. Soc., Providence. MR 1199128
-
T. H. KOORNWINDER, "Askey-Wilson polynomials for root systems of type BC" in Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications (Tampa, Fla., 1991), Contemp. Math. 138, Amer. Math. Soc., Providence, 1992, 189-204. MR 1199128
-
(1992)
Contemp. Math.
, vol.138
, pp. 189-204
-
-
Koornwinder, T.H.1
-
11
-
-
33646872691
-
Root systems and elliptic curves
-
MR 0466134
-
E. LOOIJENGA, Root systems and elliptic curves, Invent. Math. 38 (1976/77), 17-32. MR 0466134
-
(1976)
Invent. Math.
, vol.38
, pp. 17-32
-
-
Looijenga, E.1
-
12
-
-
0003267686
-
Symmetric functions and hall polynomials
-
2nd ed., Oxford Univ. Press, New York. MR 1354144
-
I. G. MACDONALD, Symmetric Functions and Hall Polynomials, 2nd ed., Oxford Math. Monogr., Oxford Univ. Press, New York, 1995. MR 1354144
-
(1995)
Oxford Math. Monogr.
-
-
Macdonald, I.G.1
-
13
-
-
0032390708
-
BC-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials
-
MR 1628453
-
A. OKOUNKOV, BC-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials, Transform. Groups 3 (1998), 181-207. MR 1628453
-
(1998)
Transform. Groups
, vol.3
, pp. 181-207
-
-
Okounkov, A.1
-
14
-
-
0040042046
-
On Newton interpolation of symmetric funtions: A characterization of interpolation Macdonald polynomials
-
MR 1612846
-
_, On Newton interpolation of symmetric funtions: A characterization of interpolation Macdonald polynomials, Adv. in Appl. Math. 20 (1998), 395-428. MR 1612846
-
(1998)
Adv. in Appl. Math.
, vol.20
, pp. 395-428
-
-
-
15
-
-
0000946162
-
9 rational functions
-
MR 0845667
-
9 rational functions, Canad. J. Math. 38 (1986), 605-618. MR 0845667
-
(1986)
Canad. J. Math.
, vol.38
, pp. 605-618
-
-
Rahman, M.1
-
16
-
-
27844601055
-
n -symmetric polynomials
-
MR 2127341
-
n -symmetric polynomials, Transform. Groups 10 (2005), 63-132. MR 2127341
-
(2005)
Transform. Groups
, vol.10
, pp. 63-132
-
-
Rains, E.M.1
-
18
-
-
0000280078
-
A proof of a multivariable elliptic summation formula conjectured by Warnaar
-
q-Series with Applications to Combinatorics, Number Theory, and Physics (Urbana, Ill., 2000), Amer. Math. Soc., Providence. MR 1874532
-
H. ROSENGREN, "A proof of a multivariable elliptic summation formula conjectured by Warnaar" in q-Series with Applications to Combinatorics, Number Theory, and Physics (Urbana, Ill., 2000), Contemp. Math. 291, Amer. Math. Soc., Providence, 2001, 193-202. MR 1874532
-
(2001)
Contemp. Math.
, vol.291
, pp. 193-202
-
-
Rosengren, H.1
-
19
-
-
0346499268
-
Elliptic hypergeometric series on root systems
-
MR 2026866
-
_, Elliptic hypergeometric series on root systems, Adv. Math. 181 (2004), 417-447. MR 2026866
-
(2004)
Adv. Math.
, vol.181
, pp. 417-447
-
-
-
20
-
-
8744269667
-
-
preprint, arXiv:math.CA/0312310
-
_, An elementary approach to 6j-symbols (classical, quantum, rational, trigonometric, and elliptic), preprint, arXiv:math.CA/0312310
-
An Elementary Approach to 6j-symbols (Classical, Quantum, Rational, Trigonometric, and Elliptic)
-
-
-
21
-
-
1842535560
-
Interpolation, integrality, and a generalization of Macdonald's polynomials
-
MR 1399411
-
S. SAHI, Interpolation, integrality, and a generalization of Macdonald's polynomials, Internat. Math. Res. Notices 1996, no. 10, 457-471. MR 1399411
-
Internat. Math. Res. Notices
, vol.1996
, Issue.10
, pp. 457-471
-
-
Sahi, S.1
-
22
-
-
0033244831
-
Nonsymmetric Koornwinder polynomials and duality
-
MR 1715325
-
_, Nonsymmetric Koornwinder polynomials and duality, Ann. of Math. (2) 150 (1999), 267-282. MR 1715325
-
(1999)
Ann. of Math. (2)
, vol.150
, pp. 267-282
-
-
-
23
-
-
0002530998
-
Extended affine root systems, II: Flat invariants
-
MR 1053908
-
K. SAITO, Extended affine root systems, II: Flat invariants, Publ. Res. Inst. Math. Sci. 26(1990), 15-78. MR 1053908
-
(1990)
Publ. Res. Inst. Math. Sci.
, vol.26
, pp. 15-78
-
-
Saito, K.1
-
24
-
-
34250143502
-
Some algebraic structures connected with the Yang-Baxter equation
-
96
-
E. K. SKLYANIN, Some algebraic structures connected with the Yang-Baxter equation (in Russian), Funktsional. Anal, i Prilozhen. 16 (1982), no. 4, 27-34, 96;
-
(1982)
Funktsional. Anal, i Prilozhen.
, vol.16
, Issue.4
, pp. 27-34
-
-
Sklyanin, E.K.1
-
25
-
-
34250143502
-
-
English translation in MR 0684124
-
English translation in Functional Anal. Appl. 16 (1982), 263-270. MR 0684124
-
(1982)
Functional Anal. Appl.
, vol.16
, pp. 263-270
-
-
-
26
-
-
0000540441
-
Some algebraic structures connected with the Yang-Baxter equation: Representations of a quantum algebra
-
_, Some algebraic structures connected with the Yang-Baxter equation: Representations of a quantum algebra (in Russian), Funktsional. Anal, i Prilozhen. 17 (1983), no. 4, 34-48;
-
(1983)
Funktsional. Anal, i Prilozhen.
, vol.17
, Issue.4
, pp. 34-48
-
-
-
27
-
-
0040694601
-
-
English translation in MR 0725414
-
English translation in Functional Anal. Appl. 17 (1983), 273-284. MR 0725414
-
(1983)
Functional Anal. Appl.
, vol.17
, pp. 273-284
-
-
-
28
-
-
0346864320
-
Theta hypergeometric series
-
Asymptotic Combinatorics with Application to Mathematical Physics (St. Petersburg, 2001), Kluwer Acad. Publ., Dordrecht.MR2000728
-
V. P. SPIRIDONOV, "Theta hypergeometric series" in Asymptotic Combinatorics with Application to Mathematical Physics (St. Petersburg, 2001), NATO Sci. Ser. II Math. Phys. Chem. 77, Kluwer Acad. Publ., Dordrecht, 2002, 307-327. MR 2000728
-
(2002)
NATO Sci. Ser. II Math. Phys. Chem.
, vol.77
, pp. 307-327
-
-
Spiridonov, V.P.1
-
29
-
-
3843146673
-
Theta hypergeometric integrals
-
_, Theta hypergeometric integrals, Algebra i Analiz 15 (2003), no. 6, 161-215;
-
(2003)
Algebra i Analiz
, vol.15
, Issue.6
, pp. 161-215
-
-
-
30
-
-
85009787071
-
-
English translation in MR 2044635
-
English translation in St. Petersburg Math. J. 15 (2004), 929-967. MR 2044635
-
(2004)
St. Petersburg Math. J.
, vol.15
, pp. 929-967
-
-
-
31
-
-
0034349855
-
Spectral transformation chains and some new biorthogonal rational functions
-
MR 1748170
-
V. P. SPIRIDONOV and A. S. ZHEDANOV, Spectral transformation chains and some new biorthogonal rational functions, Comm. Math. Phys. 210 (2000), 49-83. MR 1748170
-
(2000)
Comm. Math. Phys.
, vol.210
, pp. 49-83
-
-
Spiridonov, V.P.1
Zhedanov, A.S.2
-
32
-
-
0242575584
-
Generalized eigenvalue problem and a new family of rational functions biorthogonal on elliptic grids
-
Special Functions 2000: Current Perspective and Future Directions (Tempe, Ariz.), Kluwer Acad. Publ., Dordrecht, MR 2006295
-
_, "Generalized eigenvalue problem and a new family of rational functions biorthogonal on elliptic grids" in Special Functions 2000: Current Perspective and Future Directions (Tempe, Ariz.), NATO Sci. Ser. II Math. Phys. Chem. 30, Kluwer Acad. Publ., Dordrecht, 2001, 365 - 388. MR 2006295
-
(2001)
NATO Sci. Ser. II Math. Phys. Chem.
, vol.30
, pp. 365-388
-
-
-
33
-
-
0035982986
-
Summation and transformation formulas for elliptic hypergeometric series
-
MR 1920282
-
S. O. WARNAAR, Summation and transformation formulas for elliptic hypergeometric series, Constr. Approx. 18 (2002), 479-502. MR 1920282
-
(2002)
Constr. Approx.
, vol.18
, pp. 479-502
-
-
Warnaar, S.O.1
-
34
-
-
0000102490
-
Orthogonal functions from Gram determinants
-
MR 1112071
-
J. A. WILSON, Orthogonal functions from Gram determinants, SIAM J. Math. Anal. 22 (1991), 1147-1155. MR 1112071
-
(1991)
SIAM J. Math. Anal.
, vol.22
, pp. 1147-1155
-
-
Wilson, J.A.1
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