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Volumn 10, Issue 1, 2005, Pages 63-132

BC n-symmetric polynomials

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EID: 27844601055     PISSN: 10834362     EISSN: 1531586X     Source Type: Journal    
DOI: 10.1007/s00031-005-1003-y     Document Type: Article
Times cited : (83)

References (31)
  • 1
    • 0001308382 scopus 로고
    • Some basic hypergeometric orthogonal polynomials that generalize jacobi polynomials
    • [AW], AMS, Providence, RI
    • [AW] R. Askey, J. Wilson, Some Basic Hypergeometric Orthogonal Polynomials that Generalize Jacobi Polynomials, Memoirs of the AMS, Vol. 319, AMS, Providence, RI, 1985.
    • (1985) Memoirs of the AMS , vol.319
    • Askey, R.1    Wilson, J.2
  • 2
    • 0010152218 scopus 로고    scopus 로고
    • Algebraic aspects of increasing subsequences
    • [BR]
    • [BR] J. Baik, E. M. Rains, Algebraic aspects of increasing subsequences, Duke Math. J. 109 (2001), No. 1, 1-65.
    • (2001) Duke Math. J. , vol.109 , Issue.1 , pp. 1-65
    • Baik, J.1    Rains, E.M.2
  • 3
    • 0002279521 scopus 로고    scopus 로고
    • Transformation formulas for multivariable basic hypergeometric series
    • [BF1]
    • [BF1] T. H. Baker, P. J. Forrester, Transformation formulas for multivariable basic hypergeometric series, Methods Appl. Anal. 6 (1999), No. 2, 147-164.
    • (1999) Methods Appl. Anal. , vol.6 , Issue.2 , pp. 147-164
    • Baker, T.H.1    Forrester, P.J.2
  • 4
    • 0040792539 scopus 로고    scopus 로고
    • Multivariable Al-Salam and Carlitz polynomials associated with the type A q-Dunkl kernel
    • [BF2]
    • [BF2] T. H. Baker, P. J. Forrester, Multivariable Al-Salam and Carlitz polynomials associated with the type A q-Dunkl kernel, Math. Nachr. 212 (2000), 5-35.
    • (2000) Math. Nachr. , vol.212 , pp. 5-35
    • Baker, T.H.1    Forrester, P.J.2
  • 5
    • 0001891773 scopus 로고
    • On the eigenvalues of random matrices
    • [DS1]
    • [DS1] P. Diaconis, M. Shahshahani, On the eigenvalues of random matrices, J. Appl. Probab. 31A (1994), 49-62.
    • (1994) J. Appl. Probab. , vol.31 A , pp. 49-62
    • Diaconis, P.1    Shahshahani, M.2
  • 6
    • 0001355038 scopus 로고
    • Commuting difference operators with polynomial eigenfunctions
    • [D1]
    • [D1] J. F. van Diejen, Commuting difference operators with polynomial eigenfunctions, Compositio Math. 95 (1995), No. 2, 183-233.
    • (1995) Compositio Math. , vol.95 , Issue.2 , pp. 183-233
    • Van Diejen, J.F.1
  • 7
    • 0041112892 scopus 로고    scopus 로고
    • Self-dual Koornwinder-macdonald polynomials
    • [D2]
    • [D2] J. F. van Diejen, Self-dual Koornwinder-Macdonald polynomials, Invent. Math. 126 (1996), No. 2, 319-339.
    • (1996) Invent. Math. , vol.126 , Issue.2 , pp. 319-339
    • Van Diejen, J.F.1
  • 8
    • 21944450779 scopus 로고    scopus 로고
    • On certain multiple Bailey, Rogers and Dougall type summation formulas
    • [D3]
    • [D3] J. F. van Diejen, On certain multiple Bailey, Rogers and Dougall type summation formulas, Publ. Res. Inst. Math. Sci. 33 (1997), No. 3, 483-508.
    • (1997) Publ. Res. Inst. Math. Sci. , vol.33 , Issue.3 , pp. 483-508
    • Van Diejen, J.F.1
  • 9
    • 0034348688 scopus 로고    scopus 로고
    • An elliptic Macdonald-Morris conjecture and multiple modular hypergeometric sums
    • [DS2]
    • [DS2] J. F. van Diejen, V. P. Spiridonov, An elliptic Macdonald-Morris conjecture and multiple modular hypergeometric sums, Math. Res. Lett. 7 (2000), No. 5-6, 729-746.
    • (2000) Math. Res. Lett. , vol.7 , Issue.5-6 , pp. 729-746
    • Van Diejen, J.F.1    Spiridonov, V.P.2
  • 10
    • 0038478156 scopus 로고    scopus 로고
    • Multivariable q-Racah polynomials
    • [DS3]
    • [DS3] J. F. van Diejen, J. V. Stokman, Multivariable q-Racah polynomials, Duke Math. J. 91 (1998), No. 1, 89-136.
    • (1998) Duke Math. J. , vol.91 , Issue.1 , pp. 89-136
    • Van Diejen, J.F.1    Stokman, J.V.2
  • 12
    • 0003344023 scopus 로고
    • Basic Hypergeometric Series
    • [GR], Cambridge University Press, Cambridge
    • [GR] G. Gasper, M. Rahman, Basic Hypergeometric Series, Encyclopedia of Mathematics and Its Applications, Vol. 35, Cambridge University Press, Cambridge, 1990. Russ. transl.: 1993.
    • (1990) Encyclopedia of Mathematics and Its Applications , vol.35
    • Gasper, G.1    Rahman, M.2
  • 13
    • 3843137762 scopus 로고
    • Some q-beta integrals on SU(n) and Sp(n) that generalize the Askey-Wilson and Nasrallah-Rahman integrals
    • [G]
    • [G] R. A. Gustafson, Some q-beta integrals on SU(n) and Sp(n) that generalize the Askey-Wilson and Nasrallah-Rahman integrals, SIAM J. Math. Anal. 25 (1994), No. 2, 441-449.
    • (1994) SIAM J. Math. Anal. , vol.25 , Issue.2 , pp. 441-449
    • Gustafson, R.A.1
  • 14
    • 0002894145 scopus 로고
    • Groups and Geometric analysis
    • [H], Academic Press
    • [H] S. Helgason, Groups and Geometric Analysis, Pure and Applied Mathematics, Vol. 113, Academic Press, 1984. Russ. transl.: 1987.
    • (1984) Pure and Applied Mathematics , vol.113
    • Helgason, S.1
  • 15
    • 0031444933 scopus 로고    scopus 로고
    • Symmetric and non-symmetric quantum Capelli polynomials
    • [K1]
    • [K1] F. Knop, Symmetric and non-symmetric quantum Capelli polynomials, Comment. Math. Helv. 72 (1997), No. 1, 84-100.
    • (1997) Comment. Math. Helv. , vol.72 , Issue.1 , pp. 84-100
    • Knop, F.1
  • 16
    • 0000515270 scopus 로고
    • Askey-Wilson polynomials for root systems of type BC
    • [K2], D. St. P. Richards, Ed., Hypergeometric Functions on Domains of Positivity, Jack polynomials, and Applications (Tampa, FL, 1991), AMS, Providence, RI
    • [K2] T. H. Koornwinder, Askey-Wilson polynomials for root systems of type BC, in: D. St. P. Richards, Ed., Hypergeometric Functions on Domains of Positivity, Jack polynomials, and Applications (Tampa, FL, 1991), Contemp. Math., Vol. 138, AMS, Providence, RI, 1992, 189-204.
    • (1992) Contemp. Math. , vol.138 , pp. 189-204
    • Koornwinder, T.H.1
  • 18
    • 0742316538 scopus 로고    scopus 로고
    • Orthogonal polynomials associated with root systems
    • [M2], Art. B45a
    • [M2] I. G. Macdonald, Orthogonal polynomials associated with root systems, Séminaire Lotharingien de Combinatoire 45 (2000/01), Art. B45a.
    • (2000) Séminaire Lotharingien de Combinatoire , vol.45
    • Macdonald, I.G.1
  • 19
    • 0346714607 scopus 로고    scopus 로고
    • A duality of Macdonald-Koornwinder polynomials and its application to integral representations
    • [M3]
    • [M3] K. Mimachi, A duality of Macdonald-Koornwinder polynomials and its application to integral representations, Duke Math. J. 107 (2001), No. 2, 265-281.
    • (2001) Duke Math. J. , vol.107 , Issue.2 , pp. 265-281
    • Mimachi, K.1
  • 20
    • 0030588041 scopus 로고    scopus 로고
    • Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces
    • [N]
    • [N] M. Noumi, Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces, Adv. Math. 123 (1996), No. 1, 16-77.
    • (1996) Adv. Math. , vol.123 , Issue.1 , pp. 16-77
    • Noumi, M.1
  • 21
    • 0032390708 scopus 로고    scopus 로고
    • BC-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials
    • [O]
    • [O] A. Okounkov, BC-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials, Transform. Groups 3 (1998), No. 2, 181-207.
    • (1998) Transform. Groups , vol.3 , Issue.2 , pp. 181-207
    • Okounkov, A.1
  • 25
    • 0000280078 scopus 로고    scopus 로고
    • A proof of a multivariable elliptic summation formula conjectured by Warnaar
    • [R3], q-Series with Applications to Combinatorics, Number Theory, and Physics (Urbana, IL, 2000), AMS, Providence, RI
    • [R3] 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, IL, 2000), Contemp. Math., Vol. 291, AMS, Providence, RI, 2001, 193-202.
    • (2001) Contemp. Math. , vol.291 , pp. 193-202
    • Rosengren, H.1
  • 26
    • 1842535560 scopus 로고    scopus 로고
    • Interpolation, integrality, and a generalization of Macdonald's polynomials
    • [S1]
    • [S1] S. Sahi, Interpolation, integrality, and a generalization of Macdonald's polynomials, Internat. Math. Res. Notices, 10 (1996), 457-471.
    • (1996) Internat. Math. Res. Notices , vol.10 , pp. 457-471
    • Sahi, S.1
  • 27
    • 0033244831 scopus 로고    scopus 로고
    • Nonsymmetric Koornwinder polynomials and duality
    • [S2]
    • [S2] S. Sahi, Nonsymmetric Koornwinder polynomials and duality, Ann. Math. (2) 150 (1999), No. 1, 267-282.
    • (1999) Ann. Math. (2) , vol.150 , Issue.1 , pp. 267-282
    • Sahi, S.1
  • 28
    • 0346385990 scopus 로고    scopus 로고
    • Koornwinder polynomials and affine Hecke algebras
    • [S3] J. V. Stokman, Koornwinder polynomials and affine Hecke algebras, Internat. Math. Res. Notices 19 (2000), 1005-1042.
    • (2000) Internat. Math. Res. Notices , vol.19 , pp. 1005-1042
    • Stokman, J.V.1
  • 29
    • 23044518605 scopus 로고    scopus 로고
    • On BC type basic hypergeometric orthogonal polynomials
    • [S4]
    • [S4] J. V. Stokman, On BC type basic hypergeometric orthogonal polynomials, Trans. Amer. Math. Soc. 352 (2000), No. 4, 1527-1579.
    • (2000) Trans. Amer. Math. Soc. , vol.352 , Issue.4 , pp. 1527-1579
    • Stokman, J.V.1
  • 30
    • 0012925391 scopus 로고
    • Tableaux in the representation theory of the classical Lie groups
    • [S5], D. Stanton, Ed., Invariant Theory and Tableaux (Minneapolis, MN, 1988), Springer-Verlag, New York
    • [S5] S. Sundaram, Tableaux in the representation theory of the classical Lie groups, in: D. Stanton, Ed., Invariant Theory and Tableaux (Minneapolis, MN, 1988), IMA Vol. Math. Appl., Vol. 19, Springer-Verlag, New York, 1990, 191-225.
    • (1990) IMA Vol. Math. Appl. , vol.19 , pp. 191-225
    • Sundaram, S.1
  • 31
    • 0035982986 scopus 로고    scopus 로고
    • Summation and transformation formulas for elliptic hypergeometric series
    • [W]
    • [W] S. O. Warnaar, Summation and transformation formulas for elliptic hypergeometric series, Constr. Approx. 18 (2002), No. 4, 479-502.
    • (2002) Constr. Approx. , vol.18 , Issue.4 , pp. 479-502
    • Warnaar, S.O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.