메뉴 건너뛰기




Volumn 3, Issue 2, 1999, Pages 175-203

Dn basic hypergeometric series

Author keywords

Multiple basic hypergeometric series related to the root systems An, Cn and Dn; q Gauss summation; q Pfaff Saalsch tz sum; U(n + 1) series; Very well poised 6 5 sum

Indexed keywords


EID: 22644448479     PISSN: 13824090     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1006997424561     Document Type: Article
Times cited : (22)

References (12)
  • 1
    • 0016272054 scopus 로고
    • An analytic generalization of the Rogers-Ramanujan identities for odd moduli
    • G.E. Andrews, "An analytic generalization of the Rogers-Ramanujan identities for odd moduli," Proc. Nat. Acad. Sci U.S.A. 71 (1974), 4082-4085.
    • (1974) Proc. Nat. Acad. Sci U.S.A. , vol.71 , pp. 4082-4085
    • Andrews, G.E.1
  • 2
    • 0000068191 scopus 로고
    • Problems and prospects for basic hypergeometric functions
    • R. Askey, ed., Academic Press, New York
    • G.E. Andrews, "Problems and prospects for basic hypergeometric functions," in Theory and Application of Special Functions (R. Askey, ed.), Academic Press, New York, 1975, pp. 191-224.
    • (1975) Theory and Application of Special Functions , pp. 191-224
    • Andrews, G.E.1
  • 3
    • 0003341319 scopus 로고
    • The theory of partitions
    • G.-C. Rota, ed., Addison-Wesley, Reading, MA
    • G.E. Andrews, "The theory of partitions," in Encyclopedia of Mathematics and its Applications (G.-C. Rota, ed.), Vol. 2, Addison-Wesley, Reading, MA, 1976.
    • (1976) Encyclopedia of Mathematics and Its Applications , vol.2
    • Andrews, G.E.1
  • 4
    • 0002621685 scopus 로고
    • Connection coefficient problems and partitions
    • D.K. Ray-Chaudhuri, ed.
    • G.E. Andrews, "Connection coefficient problems and partitions," in Proc. Sympos. Pure Math. (D.K. Ray-Chaudhuri, ed.), Vol. 34, 1979, pp. 1-24.
    • (1979) Proc. Sympos. Pure Math. , vol.34 , pp. 1-24
    • Andrews, G.E.1
  • 5
    • 0003243481 scopus 로고
    • q-Series: Their development and application in analysis, number theory, combinatorics, physics and computer algebra
    • G.E. Andrews, "q-Series: Their development and application in analysis, number theory, combinatorics, physics and computer algebra," NSF CBMS Regional Conference Series 66 (1986).
    • (1986) NSF CBMS Regional Conference Series , vol.66
    • Andrews, G.E.1
  • 9
    • 0001726277 scopus 로고
    • The Macdonald identities for affine root systems of classical type and hypergeometric series very well-poised on semi-simple Lie algebras
    • Dec. 26th to 28th, 1987, Pune, India (N.K. Thakare, ed.)
    • R.A. Gustafson, "The Macdonald identities for affine root systems of classical type and hypergeometric series very well-poised on semi-simple Lie algebras," in Ramanujan International Symposium on Analysis (Dec. 26th to 28th, 1987, Pune, India) (N.K. Thakare, ed.), 1989, pp. 187-224.
    • (1989) Ramanujan International Symposium on Analysis , pp. 187-224
    • Gustafson, R.A.1
  • 10
  • 11
    • 34250473707 scopus 로고
    • Affine root systems and Dedekind's η function
    • I.G. Macdonald, "Affine root systems and Dedekind's η function," Inv. Math. 15 (1972), 91-143.
    • (1972) Inv. Math. , vol.15 , pp. 91-143
    • Macdonald, I.G.1
  • 12
    • 84972570945 scopus 로고
    • A generalization of Andrews' reduction formula for the Rogers-Selberg functions
    • S.C. Milne, "A generalization of Andrews' reduction formula for the Rogers-Selberg functions," Amer. J. Math. 104 (1982), 635-643.
    • (1982) Amer. J. Math. , vol.104 , pp. 635-643
    • Milne, S.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.