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Volumn 10, Issue 1, 2005, Pages 89-112

New identities for hall-littlewood polynomials and applications

Author keywords

Hall Littlewood polynomials; Identities of Rogers Ramanujan type

Indexed keywords


EID: 29344467652     PISSN: 13824090     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11139-005-3508-3     Document Type: Article
Times cited : (7)

References (14)
  • 1
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    • (1976) The Theory of Partitions , vol.2
    • Andrews, G.E.1
  • 2
    • 84972580044 scopus 로고
    • Multiple series Rogers-Ramanujan type identities
    • G.E. Andrews, "Multiple series Rogers-Ramanujan type identities," Pacific J. Math. 114(2) (1984) 267-283.
    • (1984) Pacific J. Math. , vol.114 , Issue.2 , pp. 267-283
    • Andrews, G.E.1
  • 3
    • 0003243481 scopus 로고
    • q-Series: Their development and application in analysis, combinatorics, physics, and computer algebra
    • Amer. Math. Soc., Providence
    • G.E. Andrews, q-Series: Their development and application in analysis, combinatorics, physics, and computer algebra, CBMS Regional Conference Series 66, Amer. Math. Soc., Providence, 1986.
    • (1986) CBMS Regional Conference Series , vol.66
    • Andrews, G.E.1
  • 5
    • 0004216016 scopus 로고
    • Encyclopedia of mathematics and its applications, Cambridge University Press, Cambridge
    • G. Gasper and M. Rahman, Basic Hypergeometric Series, Encyclopedia of mathematics and its applications, Vol. 35, Cambridge University Press, Cambridge, 1990.
    • (1990) Basic Hypergeometric Series , vol.35
    • Gasper, G.1    Rahman, M.2
  • 6
    • 0007280090 scopus 로고
    • A partition formula connected with Abelian groups
    • P. Hall, "A partition formula connected with Abelian groups," Comment. Math. Helv. 11 (1938), 126-129.
    • (1938) Comment. Math. Helv. , vol.11 , pp. 126-129
    • Hall, P.1
  • 7
    • 0035413444 scopus 로고    scopus 로고
    • Some new identities for Schur functions
    • F. Jouhet and J. Zeng, "Some new identities for Schur functions," Adv. Appl. Math. 27 (2001) 493-509.
    • (2001) Adv. Appl. Math. , vol.27 , pp. 493-509
    • Jouhet, F.1    Zeng, J.2
  • 8
    • 29344461824 scopus 로고
    • An elementary proof of a q-binomial identity, q-series and partitions
    • (Minneapolis, MN, 1988), Springer, New York
    • I.G. Macdonald, An elementary proof of a q-binomial identity, q-series and partitions (Minneapolis, MN, 1988), 73-75, IMA Vol. Math. Appl., 18, Springer, New York, 1989.
    • (1989) IMA Vol. Math. Appl. , vol.18 , pp. 73-75
    • Macdonald, I.G.1
  • 10
    • 84963066553 scopus 로고
    • A new proof of Rogers's transformations of infinite series
    • L.J. Slater, "A new proof of Rogers's transformations of infinite series," Proc. London Math. Soc. 53(2) (1951), 460-475.
    • (1951) Proc. London Math. Soc. , vol.53 , Issue.2 , pp. 460-475
    • Slater, L.J.1
  • 11
    • 84963076033 scopus 로고
    • Further identities of the Rogers-Ramanujan type
    • L. J. Slater, "Further identities of the Rogers-Ramanujan Type," Proc. London Math. Soc. 54(2), (1951-1952), 147-167.
    • (1951) Proc. London Math. Soc. , vol.54 , Issue.2 , pp. 147-167
    • Slater, L.J.1
  • 12
    • 0001666494 scopus 로고
    • Hall-Littlewood functions, plane partitions, and the Rogers-Ramanujan identities
    • J. R. Stembridge, "Hall-Littlewood functions, plane partitions, and the Rogers-Ramanujan identities," Trans. Amer. Math. Soc. 319(2) (1990) 469-498.
    • (1990) Trans. Amer. Math. Soc. , vol.319 , Issue.2 , pp. 469-498
    • Stembridge, J.R.1
  • 14
    • 0003197968 scopus 로고    scopus 로고
    • 50 years of Bailey's lemma
    • (Gößweinstein, 1999), Springer, Berlin
    • S. O. Warnaar, 50 years of Bailey's lemma, in Algebraic Combinatorics and Applications (Gößweinstein, 1999), Springer, Berlin, 2001, 333-347.
    • (2001) Algebraic Combinatorics and Applications , pp. 333-347
    • Warnaar, S.O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.