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Volumn 40, Issue 12, 1999, Pages 6692-6700

Invariance groups of transformations of basic hypergeometric series

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EID: 0033249114     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.533115     Document Type: Article
Times cited : (28)

References (20)
  • 2
    • 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
    • C. Krattenthaler, "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, 737-744 (1995). Also available on http://radon.mat.univie.ac.at/People/kratt.
    • (1995) J. Symbolic Comput. , vol.20 , pp. 737-744
    • Krattenthaler, C.1
  • 3
    • 84960616261 scopus 로고
    • A group of generalized hypergeometric series: Relations between 120 allied series of the type F[a,b,c;d,e]
    • F. J. W. Whipple, "A group of generalized hypergeometric series: relations between 120 allied series of the type F[a,b,c;d,e]," Proc. London Math. Soc. (2) 23, 104-114 (1925).
    • (1925) Proc. London Math. Soc. (2) , vol.23 , pp. 104-114
    • Whipple, F.J.W.1
  • 4
    • 0000645763 scopus 로고
    • Group theoretical basis of some identities for the generalized hypergeometric series
    • W. A. Beyer, J. D. Louck, and P. R. Stein, "Group theoretical basis of some identities for the generalized hypergeometric series," J. Math. Phys. 28, 497-508 (1987).
    • (1987) J. Math. Phys. , vol.28 , pp. 497-508
    • Beyer, W.A.1    Louck, J.D.2    Stein, P.R.3
  • 8
    • 0009160432 scopus 로고
    • 2(1) functions, hahn polynomials and recurrence relations for the 3-j coefficients
    • 2(1) functions, Hahn polynomials and recurrence relations for the 3-j coefficients," J. Phys. A 22, 4113-4123 (1989).
    • (1989) J. Phys. A , vol.22 , pp. 4113-4123
    • Rajeswari, V.1    Srinivasa Rao, K.2
  • 9
    • 0038940306 scopus 로고
    • Generalized basic hypergeometric functions and the q-analogues of 3-j and 6-j coefficients
    • V. Rajeswari and K. Srinivasa Rao, "Generalized basic hypergeometric functions and the q-analogues of 3-j and 6-j coefficients," J. Phys. A 24, 3761-3780 (1991).
    • (1991) J. Phys. A , vol.24 , pp. 3761-3780
    • Rajeswari, V.1    Srinivasa Rao, K.2
  • 12
    • 0002484345 scopus 로고
    • Über die funktionen welche durch reihen von der form dargestellt werden: I + pp'p″/1q′q″+ ⋯
    • J. Thomae, "Über die Funktionen welche durch Reihen von der Form dargestellt werden: I + pp'p″/1q′q″+ ⋯," J. Reine Angew. Math. 87 26-73 (1879).
    • (1879) J. Reine Angew. Math. , vol.87 , pp. 26-73
    • Thomae, J.1
  • 15
    • 84963069223 scopus 로고
    • On the transformation theory of basic hypergeometric functions
    • D. B. Sears, "On the transformation theory of basic hypergeometric functions," Proc. London Math. Soc. (2) 53, 158-180 (1951).
    • (1951) Proc. London Math. Soc. (2) , vol.53 , pp. 158-180
    • Sears, D.B.1
  • 19
    • 0001078490 scopus 로고
    • An identity involving Heine's basic hypergeometric series
    • W. N. Bailey, "An identity involving Heine's basic hypergeometric series," J. London Math. Soc. 4, 254-257 (1929).
    • (1929) J. London Math. Soc. , vol.4 , pp. 254-257
    • Bailey, W.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.