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Volumn 206, Issue 1, 2007, Pages 498-519

Symmetry groups of Bailey's transformations for 10φ9-series

Author keywords

Bailey's transformations; Basic hypergeometric series; E6; E7; Root systems; Symmetry group

Indexed keywords

COMPUTATIONAL GEOMETRY; PROBLEM SOLVING;

EID: 34249279842     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2006.08.005     Document Type: Article
Times cited : (13)

References (13)
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    • G. Gasper, M. Rahman, Basic Hypergeometric Series, Encyclopedia of Mathematics and its Applications, vol. 35, second ed., Cambridge University Press, Cambridge, 2004.
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    • Contiguous relations, continued fractions and orthogonality
    • Gupta D.P., and Masson D.R. Contiguous relations, continued fractions and orthogonality. Trans. Amer. Math. Soc. 350 2 (1998) 769-808
    • (1998) Trans. Amer. Math. Soc. , vol.350 , Issue.2 , pp. 769-808
    • Gupta, D.P.1    Masson, D.R.2
  • 5
    • 34249284996 scopus 로고    scopus 로고
    • J.E. Humphreys, Reflection groups and Coxeter groups, Cambridge Studies in Advanced Mathematics, vol. 29, Cambridge University Press, Cambridge, 1990.
  • 6
    • 34249312445 scopus 로고    scopus 로고
    • N. Jacobson, Lie Algebras, Dover Publications Inc., New York, 1979, Republication of the 1962 original.
  • 8
    • 22144447544 scopus 로고    scopus 로고
    • Construction of hypergeometric solutions to the q-Painlevé equations
    • Kajiwara K., Masuda T., Noumi M., Ohta Y., and Yamada Y. Construction of hypergeometric solutions to the q-Painlevé equations. Internet. Math. Res. Notices 2005 24 (2005) 1441-1463
    • (2005) Internet. Math. Res. Notices , vol.2005 , Issue.24 , pp. 1441-1463
    • Kajiwara, K.1    Masuda, T.2    Noumi, M.3    Ohta, Y.4    Yamada, Y.5
  • 9
    • 0000663534 scopus 로고
    • HYP and HYPQ: mathematica packages for the manipulation of binomial sums and hypergeometric series, respectively q-binomial sums and basic hypergeometric series
    • Krattenthaler C. HYP and HYPQ: mathematica packages for the manipulation of binomial sums and hypergeometric series, respectively q-binomial sums and basic hypergeometric series. J. Symbolic Comput. 20 5-6 (1995) 737-744
    • (1995) J. Symbolic Comput. , vol.20 , Issue.5-6 , pp. 737-744
    • Krattenthaler, C.1
  • 10
    • 33746849046 scopus 로고    scopus 로고
    • Invariance groups of three term transformations for basic hypergeometric series
    • Lievens S., and Van der Jeugt J. Invariance groups of three term transformations for basic hypergeometric series. J. Comput. Appl. Math. 197 (2006) 1-14
    • (2006) J. Comput. Appl. Math. , vol.197 , pp. 1-14
    • Lievens, S.1    Van der Jeugt, J.2
  • 11
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    • V.P. Spiridonov, Classical elliptic hypergeometric functions and their applications, in: M. Noumi, K. Takasaki (Eds.), Elliptic integrable Systems, Rokko Lectures in Mathematics, vol. 18, 2005, pp. 253-287.
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    • Invariance groups of transformations of basic hypergeometric series
    • Van der Jeugt J., and Srinivasa Rao K. Invariance groups of transformations of basic hypergeometric series. J. Math. Phys. 40 12 (1999) 6692-6700
    • (1999) J. Math. Phys. , vol.40 , Issue.12 , pp. 6692-6700
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  • 13
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    • Well-poised hypergeometric service for Diophantine problems of zeta values
    • Zudilin W. Well-poised hypergeometric service for Diophantine problems of zeta values. J. Théor. Nombres Bordeaux 15 2 (2003) 593-626
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    • Zudilin, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.