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Volumn 43, Issue 6, 2010, Pages

Some recursive formulas for Selberg-type integrals

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EID: 76749140062     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/43/6/065201     Document Type: Article
Times cited : (2)

References (32)
  • 1
    • 0001058541 scopus 로고
    • Jacobi polynomials associated with Selberg integrals
    • Aomoto K 1987 Jacobi polynomials associated with Selberg integrals SIAM J. Math. Anal. 18 545-9
    • (1987) SIAM J. Math. Anal. , vol.18 , Issue.2 , pp. 545-549
    • Aomoto, K.1
  • 2
    • 0001568601 scopus 로고
    • Some basic hypergeometric extensions of integrals of Selberg and Andrews
    • Askey R 1980 Some basic hypergeometric extensions of integrals of Selberg and Andrews SIAM J. Math. Anal. 11 938-51
    • (1980) SIAM J. Math. Anal. , vol.11 , Issue.6 , pp. 938-951
    • Askey, R.1
  • 3
    • 0000432543 scopus 로고
    • Quantum group structure in the Fock space resolutions of representations
    • Bouwknegt P, McCarthy J and Pilch K 1990 Quantum group structure in the Fock space resolutions of representations Commun. Math. Phys. 131 125-55
    • (1990) Commun. Math. Phys. , vol.131 , Issue.1 , pp. 125-155
    • Bouwknegt, P.1    McCarthy, J.2    Pilch, K.3
  • 4
    • 33847690645 scopus 로고    scopus 로고
    • Chern-Simons matrix models and Stieltjes-Wigert polynomials
    • Dolivet Y and Tierz M 2007 Chern-Simons matrix models and Stieltjes-Wigert polynomials J. Math. Phys. 48 023507
    • (2007) J. Math. Phys. , vol.48 , Issue.2 , pp. 023507
    • Dolivet, Y.1    Tierz, M.2
  • 5
    • 85010074945 scopus 로고
    • Four-point correlation functions and the operator algebra in 2D conformal invariant theories with central charge c ≤ 1
    • Dotsenko V S and Fateev V A 1985 Four-point correlation functions and the operator algebra in 2D conformal invariant theories with central charge c ≤ 1 Nucl. Phys. B 251 691-734
    • (1985) Nucl. Phys. , vol.251 , Issue.5-6 , pp. 691-734
    • Dotsenko, V.S.1    Fateev, V.A.2
  • 7
    • 0000398689 scopus 로고
    • Multidimensional q-beta integrals
    • Evans R J 1992 Multidimensional q-beta integrals SIAM J. Math. Anal. 23 758-65
    • (1992) SIAM J. Math. Anal. , vol.23 , Issue.3 , pp. 758-765
    • Evans, R.J.1
  • 8
    • 0742271327 scopus 로고    scopus 로고
    • Elliptic Selberg integrals and conformal blocks
    • Felder G, Stevens L and Varchenko A 2003 Elliptic Selberg integrals and conformal blocks Math. Res. Lett. 10 671-84
    • (2003) Math. Res. Lett. , vol.10 , pp. 671-684
    • Felder, G.1    Stevens, L.2    Varchenko, A.3
  • 9
    • 21144461065 scopus 로고
    • 2 quantum many body system
    • 2 quantum many body system J. Stat. Phys. 72 39-50
    • (1993) J. Stat. Phys. , vol.72 , Issue.1-2 , pp. 39-50
    • Forrester, P.J.1
  • 11
    • 70349208575 scopus 로고    scopus 로고
    • On a Selberg-Schur Integral
    • Iguri S M 2009 On a Selberg-Schur Integral Lett. Math. Phys. 89 141-58
    • (2009) Lett. Math. Phys. , vol.89 , Issue.2 , pp. 141-158
    • Iguri, S.M.1
  • 12
    • 41549094488 scopus 로고    scopus 로고
    • Coulomb integrals for the Wess-Zumino-Novikov-Witten model
    • Iguri S M and Núñez C A 2008 Coulomb integrals for the Wess-Zumino-Novikov-Witten model Phys. Rev. D 77 066015 (23 pp)
    • (2008) Phys. Rev. , vol.77 , Issue.6 , pp. 066015
    • Iguri, S.M.1    Núñez, C.A.2
  • 14
    • 0000501120 scopus 로고
    • A proof of Askey's conjectured q-analogue of Selberg's integral and a conjecture of Morris
    • Kadell K W J 1988 A proof of Askey's conjectured q-analogue of Selberg's integral and a conjecture of Morris SIAM J. Math. Anal. 19 969-86
    • (1988) SIAM J. Math. Anal. , vol.19 , Issue.4 , pp. 969-986
    • Kadell, K.W.J.1
  • 16
    • 0031232467 scopus 로고    scopus 로고
    • The Selberg-Jack symmetric functions
    • Kadell K W J 1997 The Selberg-Jack symmetric functions Adv. Math. 130 33-102
    • (1997) Adv. Math. , vol.130 , Issue.1 , pp. 33-102
    • Kadell, K.W.J.1
  • 17
    • 0001207320 scopus 로고
    • Selberg integrals and hypergeometric functions associated with Jack polynomials
    • Kaneko J 1993 Selberg integrals and hypergeometric functions associated with Jack polynomials SIAM J. Math. Anal. 24 1086-110
    • (1993) SIAM J. Math. Anal. , vol.24 , Issue.4 , pp. 1086-1110
    • Kaneko, J.1
  • 18
    • 0034348205 scopus 로고    scopus 로고
    • Random matrix theory and L-functions at s = 1/2
    • Keating J P and Snaith N C 2001 Random matrix theory and L-functions at s = 1/2 Commun. Math. Phys. 214 91-110
    • (2001) Commun. Math. Phys. , vol.214 , Issue.1 , pp. 91-110
    • Keating, J.P.1    Snaith, N.C.2
  • 19
    • 0037471261 scopus 로고    scopus 로고
    • Random matrix theory, the exceptional Lie groups and L-functions
    • Keating J P, Linden N and Rudnick Z 2003 Random matrix theory, the exceptional Lie groups and L-functions J. Phys. A: Math. Gen. 36 2933-44
    • (2003) J. Phys. A: Math. Gen. , vol.36 , Issue.12 , pp. 2933-2944
    • Keating, J.P.1    Linden, N.2    Rudnick, Z.3
  • 20
    • 0001110442 scopus 로고
    • Some conjectures for root systems
    • Macdonald I G 1982 Some conjectures for root systems SIAM J. Math. Anal. 13 988-1007
    • (1982) SIAM J. Math. Anal. , vol.13 , Issue.6 , pp. 988-1007
    • MacDonald, I.G.1
  • 22
    • 76749150963 scopus 로고
    • Morris W G 1982 Constant term identities for finite and affine root systems: conjectures and theorems PhD Thesis University of Wisconsin-Madison
    • (1982) PhD Thesis
    • Morris, W.G.1
  • 23
    • 4043090072 scopus 로고    scopus 로고
    • Remarks on critical points of phase functions and norms of Bethe vectors
    • Mukhin E and Varchenko A 2000 Remarks on critical points of phase functions and norms of Bethe vectors Adv. Stud. Pure Math. 27 239-46
    • (2000) Adv. Stud. Pure Math. , vol.27 , pp. 239-246
    • Mukhin, E.1    Varchenko, A.2
  • 24
    • 33646863388 scopus 로고
    • Some applications of hypergeometric shift operators
    • Opdam E M 1989 Some applications of hypergeometric shift operators Invent. Math. 98 1-18
    • (1989) Invent. Math. , vol.98 , Issue.1 , pp. 1-18
    • Opdam, E.M.1
  • 25
    • 0346895737 scopus 로고
    • Arrangements of hyperplanes and Lie algebra homology
    • Schechtman V V and Varchenko A N 1991 Arrangements of hyperplanes and Lie algebra homology Invent. Math. 106 139-94
    • (1991) Invent. Math. , vol.106 , Issue.1 , pp. 139-194
    • Schechtman, V.V.1    Varchenko, A.N.2
  • 26
    • 0002222955 scopus 로고
    • Bemerkninger om et multipelt integral
    • Selberg A 1944 Bemerkninger om et multipelt integral Norsk. Mat. Tidsskr. 26 71-8
    • (1944) Norsk. Mat. Tidsskr. , vol.26 , pp. 71-78
    • Selberg, A.1
  • 27
    • 84966251953 scopus 로고
    • A short proof of Macdonald conjecture for the root systems of type A
    • Stembridge J R 1988 A short proof of Macdonald conjecture for the root systems of type A Proc. Am. Math. Soc. 102 777-86
    • (1988) Proc. Am. Math. Soc. , vol.102 , Issue.4 , pp. 777-786
    • Stembridge, J.R.1
  • 28
    • 23044518605 scopus 로고    scopus 로고
    • On BC type basic hypergeometric orthogonal polynomials
    • Stokman J V 2000 On BC type basic hypergeometric orthogonal polynomials Trans. Am. Math. Soc. 352 1527-79
    • (2000) Trans. Am. Math. Soc. , vol.352 , Issue.4 , pp. 1527-1579
    • Stokman, J.V.1
  • 30
    • 0000922689 scopus 로고
    • Fock space representation of the Virasoro algebra. Intertwining operators
    • Tsuchiya A and Kanie T 1986 Fock space representation of the Virasoro algebra. Intertwining operators Pub. RIMS 22 259-327
    • (1986) Pub. RIMS , vol.22 , Issue.2 , pp. 259-327
    • Tsuchiya, A.1    Kanie, T.2
  • 31
    • 29244478011 scopus 로고    scopus 로고
    • Q-Selberg integrals and Macdonald polynomials
    • Warnaar S O 2005 q-Selberg integrals and Macdonald polynomials Ramanujan J. 10 237-68
    • (2005) Ramanujan J. , vol.10 , Issue.2 , pp. 237-268
    • Warnaar, S.O.1
  • 32


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.