메뉴 건너뛰기




Volumn 169, Issue 2, 2004, Pages 419-430

Expansion formulas for terminating balanced 4F3 -series from the Biedenharn-Elliot identity for su(1,1)

Author keywords

Biedenharn Elliot identity; Expansion formula; Hypergeometric series; Invariance group

Indexed keywords

APPLIED MATHEMATICS; TRANSFORMATION FORMULAS;

EID: 4444372734     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2003.12.033     Document Type: Article
Times cited : (3)

References (18)
  • 3
    • 0000645763 scopus 로고
    • Group theoretical basis of some identities for the generalized hypergeometric series
    • Beyer W. Louck J. Stein P. Group theoretical basis of some identities for the generalized hypergeometric series J. Math. Phys. 28 1987 497-508
    • (1987) J. Math. Phys. , vol.28 , pp. 497-508
    • Beyer, W.1    Louck, J.2    Stein, P.3
  • 4
    • 85172023081 scopus 로고
    • An identity satisfied by the Racah coefficients
    • Biedenharn L.C. An identity satisfied by the Racah coefficients J. Math. Phys. 31 1953 287-293
    • (1953) J. Math. Phys. , vol.31 , pp. 287-293
    • Biedenharn, L.C.1
  • 6
    • 0041116299 scopus 로고
    • Theoretical studies in nuclear structure V: The matrix elements of non-central forces with an application to the 2p-shell
    • Elliot J. Theoretical studies in nuclear structure V: the matrix elements of non-central forces with an application to the 2p-shell Proc. Roy. Soc. Edinburgh Sec. A 218 1953 370
    • (1953) Proc. Roy. Soc. Edinburgh Sec. A , vol.218 , pp. 370
    • Elliot, J.1
  • 7
    • 0011296259 scopus 로고    scopus 로고
    • q-Extensions of Erdélyi's fractional integral representations for hypergeometric functions and some summation formulas for double q-Kampé de Fériet Series
    • Gasper G. q-Extensions of Erdélyi's fractional integral representations for hypergeometric functions and some summation formulas for double q-Kampé de Fériet Series Contemp. Math. 254 2000 187-198
    • (2000) Contemp. Math. , vol.254 , pp. 187-198
    • Gasper, G.1
  • 10
    • 0032383984 scopus 로고    scopus 로고
    • Convolutions for orthogonal polynomials from lie and quantum algebra representations
    • Koelink H. Van der Jeugt J. Convolutions for orthogonal polynomials from lie and quantum algebra representations SIAM J. Math. Anal. 29 1998 794-822
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 794-822
    • Koelink, H.1    Van der Jeugt, J.2
  • 11
    • 0036629808 scopus 로고    scopus 로고
    • 3nj-coefficients of su(1,1) as connection coefficients between orthogonal polynomials in n variables
    • Lievens S. Van der Jeugt J. 3nj-coefficients of su(1,1) as connection coefficients between orthogonal polynomials in n variables J. Math. Phys. 43 2002 3824-3849
    • (2002) J. Math. Phys. , vol.43 , pp. 3824-3849
    • Lievens, S.1    Van der Jeugt, J.2
  • 14
    • 0031493450 scopus 로고    scopus 로고
    • Coupling coefficients for Lie algebra representations and addition formulas for special functions
    • Van der Jeugt J. Coupling coefficients for Lie algebra representations and addition formulas for special functions J. Math. Phys. 38 1997 2728-2740
    • (1997) J. Math. Phys. , vol.38 , pp. 2728-2740
    • Van der Jeugt, J.1
  • 15
    • 0008038999 scopus 로고    scopus 로고
    • Hypergeometric series related to the 9-j coefficient of su(1,1)
    • Van der Jeugt J. Hypergeometric series related to the 9-j coefficient of su(1,1) J. Comput. Appl. Math. 118 2000 337-351
    • (2000) J. Comput. Appl. Math. , vol.118 , pp. 337-351
    • Van der Jeugt, J.1
  • 17
    • 0033249114 scopus 로고    scopus 로고
    • Invariance groups of transformations of basic hypergeometric series
    • Van der Jeugt J. Srinivasa Rao K. Invariance groups of transformations of basic hypergeometric series J. Math. Phys. 40 1999 6692-6700
    • (1999) J. Math. Phys. , vol.40 , pp. 6692-6700
    • Van der Jeugt, J.1    Srinivasa Rao, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.