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Volumn 68, Issue 1-2, 1996, Pages 151-158

Heine transformations for a new kind of basic hypergeometric series in U(n)

Author keywords

Basic hypergeometric series in U(n); Bilateral basic hypergeometric series; Good's identity; Heine transformation

Indexed keywords

CALCULATIONS; COMPUTATIONAL GEOMETRY; DIFFERENTIAL EQUATIONS; FUNCTIONS; NUMERICAL METHODS;

EID: 0030121809     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0427(95)00260-X     Document Type: Article
Times cited : (11)

References (11)
  • 1
    • 0003243481 scopus 로고
    • q-Series: Their development and applications in analysis, number theory, combinatorics, physics and computer algebra
    • Conf. Board Math. Sci., Washington, DC
    • G.E. Andrews, q-Series: Their Development and Applications in Analysis, Number Theory, Combinatorics, Physics and Computer Algebra, NSF-CBMS Regional Conf. Ser. in Math., No. 66 (Conf. Board Math. Sci., Washington, DC, 1986).
    • (1986) NSF-CBMS Regional Conf. Ser. in Math. , vol.66
    • Andrews, G.E.1
  • 2
    • 0003344023 scopus 로고
    • Basic hypergeometric series
    • G.-C. Rota, Ed., Cambridge Univ. Press, Cambridge
    • G. Gasper and M. Rahman, Basic hypergeometric series, in: G.-C. Rota, Ed., Encyclopedia of Mathematics and its Applications, Vol. 35 (Cambridge Univ. Press, Cambridge, 1990).
    • (1990) Encyclopedia of Mathematics and its Applications , vol.35
    • Gasper, G.1    Rahman, M.2
  • 3
    • 36849101917 scopus 로고
    • Short proof of a conjecture of Dyson
    • I.J. Good, Short proof of a conjecture of Dyson, J. Math. Phys. 11 (1970) 1884.
    • (1970) J. Math. Phys. , vol.11 , pp. 1884
    • Good, I.J.1
  • 4
    • 0010299447 scopus 로고
    • Über die reihe ...
    • E. Heine, Über die Reihe ... , J. Reine Angew. Math. 32 (1846) 210-212.
    • (1846) J. Reine Angew. Math. , vol.32 , pp. 210-212
    • Heine, E.1
  • 5
    • 84941475777 scopus 로고
    • Untersuchungen über die reihe ...
    • E. Heine, Untersuchungen über die Reihe ... , J. Reine Angew. Math. 34 (1847) 285-328.
    • (1847) J. Reine Angew. Math. , vol.34 , pp. 285-328
    • Heine, E.1
  • 7
    • 0000892366 scopus 로고
    • Summation theorems for hypergeometric series in U(n)
    • W.J. Holman III, Summation theorems for hypergeometric series in U(n), SIAM J. Math. Anal. 11 (1980) 523-532.
    • (1980) SIAM J. Math. Anal. , vol.11 , pp. 523-532
    • Holman W.J. III1
  • 8
    • 0003321117 scopus 로고    scopus 로고
    • The major counting of nonintersecting lattice paths and generating functions for tableaux
    • to appear
    • C. Krattenthaler, The major counting of nonintersecting lattice paths and generating functions for tableaux, Mem. Amer. Math. Soc., to appear.
    • Mem. Amer. Math. Soc.
    • Krattenthaler, C.1
  • 10
    • 84960605078 scopus 로고
    • On a three-fold symmetry in the elements of Heine's series
    • L.J. Rogers, On a three-fold symmetry in the elements of Heine's series, Proc. London Math. Soc. 24 (1893) 171-179.
    • (1893) Proc. London Math. Soc. , vol.24 , pp. 171-179
    • Rogers, L.J.1
  • 11
    • 0001531907 scopus 로고
    • Proof of a conjecture by Dyson
    • K. Wilson, Proof of a conjecture by Dyson, J. Math. Phys. 3 (1962) 1040-1043.
    • (1962) J. Math. Phys. , vol.3 , pp. 1040-1043
    • Wilson, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.