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Volumn 34, Issue 41, 2001, Pages 8407-8424

On the evaluation formula for Jack polynomials with prescribed symmetry

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EID: 0035914271     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/41/302     Document Type: Review
Times cited : (7)

References (14)
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    • ed J F van Diejen and L Vinet (New York: Springer)
    • Baker T H, Dunkl C F and Forrester P J 2000 Polynomial eigenfunctions of the Calogero-Sutherland-Moser models with exchange terms Calogero-Sutherland-Moser Models CRM Series in Mathematical Physics ed J F van Diejen and L Vinet (New York: Springer) pp 37-51
    • (2000) Calogero-Sutherland-Moser Models CRM Series in Mathematical Physics , pp. 37-51
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  • 2
    • 0031578205 scopus 로고    scopus 로고
    • The Calogero-Sutherland model and polynomials with prescribed symmetry
    • Baker T H and Forrester P J 1997 The Calogero-Sutherland model and polynomials with prescribed symmetry Nucl. Phys. B 492 682-716
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    • Baker, T.H.1    Forrester, P.J.2
  • 3
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    • Nonsymmetric Jack polynomials and integral kernels
    • Baker T H and Forrester P J 1998 Nonsymmetric Jack polynomials and integral kernels Duke Math. J. 95 1-50
    • (1998) Duke Math. J. , vol.95 , pp. 1-50
    • Baker, T.H.1    Forrester, P.J.2
  • 4
    • 0032186752 scopus 로고    scopus 로고
    • Orthogonal polynomials of types A and B and related Calogero models
    • Dunkl C F 1998 Orthogonal polynomials of types A and B and related Calogero models Commun. Math. Phys. 197 451-87
    • (1998) Commun. Math. Phys. , vol.197 , pp. 451-487
    • Dunkl, C.F.1
  • 5
    • 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
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    • Kadell, K.W.J.1
  • 6
    • 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 , pp. 1086-1110
    • Kaneko, J.1
  • 7
    • 0032553267 scopus 로고    scopus 로고
    • Jack polynomials with prescribed symmetry and hole propogator of spin Calogero-Sutherland model
    • Kato Y and Yamamoto T 1998 Jack polynomials with prescribed symmetry and hole propogator of spin Calogero-Sutherland model J. Phys. A: Math. Gen. 31 9171-84
    • (1998) J. Phys. A: Math. Gen. , vol.31 , pp. 9171-9184
    • Kato, Y.1    Yamamoto, T.2
  • 8
    • 0031501912 scopus 로고    scopus 로고
    • A recursion and combinatorial formula for Jack polynomials
    • Knop F and Sahi S 1997 A recursion and combinatorial formula for Jack polynomials Inv. Math. 128 9-22
    • (1997) Inv. Math. , vol.128 , pp. 9-22
    • Knop, F.1    Sahi, S.2
  • 9
    • 0000250273 scopus 로고
    • Commuting differential operators and zonal spherical functions
    • ed A M Cohen et al (Heidelberg: Springer)
    • Macdonald I G 1987 Commuting differential operators and zonal spherical functions Algebraic Groups, Utrecht 1986 (Lecture Notes in Math, vol 1271) ed A M Cohen et al (Heidelberg: Springer) pp 189-200
    • (1987) Algebraic Groups, Utrecht 1986 (Lecture Notes in Math. Vol 1271) , vol.1271 , pp. 189-200
    • Macdonald, I.G.1
  • 10
    • 0034716868 scopus 로고    scopus 로고
    • Bosonic and fermionic eigenstates for generalized Sutherland models
    • Nishino A and Wadati M 2000 Bosonic and fermionic eigenstates for generalized Sutherland models J. Phys. A: Math. Gen. 33 3795-807
    • (2000) J. Phys. A: Math. Gen. , vol.33 , pp. 3795-3807
    • Nishino, A.1    Wadati, M.2
  • 11
    • 0003365763 scopus 로고    scopus 로고
    • Lectures on Dunkl operators for real and complex reflection groups
    • Mathematical Society of Japan
    • Opdam E M 2001 Lectures on Dunkl operators for real and complex reflection groups MSJ Memoirs vol 8 (Mathematical Society of Japan) (Opdam E M 1998 Preprint math.RT/9812007)
    • (2001) MSJ Memoirs , vol.8
    • Opdam, E.M.1
  • 12
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    • Preprint
    • Opdam E M 2001 Lectures on Dunkl operators for real and complex reflection groups MSJ Memoirs vol 8 (Mathematical Society of Japan) (Opdam E M 1998 Preprint math.RT/9812007)
    • (1998) Math.RT/9812007
    • Opdam, E.M.1
  • 13
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    • Harmonic analysis for certain representations of graded Hecke algebras
    • Opdam E M 1995 Harmonic analysis for certain representations of graded Hecke algebras Acta Math. 175 75-121
    • (1995) Acta Math. , vol.175 , pp. 75-121
    • Opdam, E.M.1
  • 14
    • 0000015307 scopus 로고    scopus 로고
    • A new scalar product for nonsymmetric Jack polynomials
    • Sahi S 1996 A new scalar product for nonsymmetric Jack polynomials Int. Math. Res. Not. 20 997-1004
    • (1996) Int. Math. Res. Not. , vol.20 , pp. 997-1004
    • Sahi, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.