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Volumn 126, Issue 1-2, 2000, Pages 449-478

Analytic continuation of the Gaussian hypergeometric function 2F1(a,b;c;z) for arbitrary parameters

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; SET THEORY; THEOREM PROVING;

EID: 0034513662     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(00)00267-3     Document Type: Article
Times cited : (41)

References (17)
  • 3
    • 85031526718 scopus 로고    scopus 로고
    • Higher angular momentum states of the helium atom in a strong magnetic field
    • submitted for publication
    • W. Becken, P. Schmelcher, Higher angular momentum states of the helium atom in a strong magnetic field, submitted for publication to Phys. Rev. A.
    • Phys. Rev. A
    • Becken, W.1    Schmelcher, P.2
  • 4
    • 0032669463 scopus 로고    scopus 로고
    • The helium atom in a strong magnetic field
    • W. Becken, P. Schmelcher, F.K. Diakonos, The helium atom in a strong magnetic field, J. Phys. B 32 (6) (1999) 1557-1584.
    • (1999) J. Phys. B , vol.32 , Issue.6 , pp. 1557-1584
    • Becken, W.1    Schmelcher, P.2    Diakonos, F.K.3
  • 5
    • 0040617191 scopus 로고
    • An analytic continuation of the hypergeometric series
    • W. Bühring, An analytic continuation of the hypergeometric series, SIAM J. Math. Anal. 18 (1987) 884-889.
    • (1987) SIAM J. Math. Anal. , vol.18 , pp. 884-889
    • Bühring, W.1
  • 8
    • 0004578096 scopus 로고    scopus 로고
    • Computing the hypergeometric function
    • R.C. Forrey, Computing the hypergeometric function, J. Comput. Phys. 137 (1997) 79-100.
    • (1997) J. Comput. Phys. , vol.137 , pp. 79-100
    • Forrey, R.C.1
  • 12
    • 0005056404 scopus 로고
    • Numerical evaluation of special functions
    • W. Gautschi (Ed.), Mathematics of Computation 1943-1993: A Half-Century of Computational Mathematics, Amer. Math. Soc., Providence, RI
    • D.W. Lozier, F.W.J. Olver, Numerical evaluation of special functions, in: W. Gautschi (Ed.), Mathematics of Computation 1943-1993: A Half-Century of Computational Mathematics, Proceedings of Symposia in Applied Mathematics, Vol. 48, Amer. Math. Soc., Providence, RI, 1994 pp. 79-125.
    • (1994) Proceedings of Symposia in Applied Mathematics , vol.48 , pp. 79-125
    • Lozier, D.W.1    Olver, F.W.J.2
  • 14
    • 0343590508 scopus 로고
    • Multipole matrix elements for hydrogen atom
    • A. Matsumoto, Multipole matrix elements for hydrogen atom, Phys. Scripta 44 (2) (1991) 154-157.
    • (1991) Phys. Scripta , vol.44 , Issue.2 , pp. 154-157
    • Matsumoto, A.1
  • 15
    • 21344492507 scopus 로고
    • On the Kummer solutions of the hypergeometric equation
    • R.T. Prosser, On the Kummer solutions of the hypergeometric equation, Amer. Math. Monthly 101 (1994) 535-543.
    • (1994) Amer. Math. Monthly , vol.101 , pp. 535-543
    • Prosser, R.T.1
  • 16
    • 0013229713 scopus 로고
    • Some further reduction formulas for certain classes of generalized multiple hypergeometric series arising in physical, astrophysical, and quantum chemical applications
    • H.M. Srivastava, Some further reduction formulas for certain classes of generalized multiple hypergeometric series arising in physical, astrophysical, and quantum chemical applications, Astrophys. Space Sci. 181 (2) (1991) 195-202.
    • (1991) Astrophys. Space Sci. , vol.181 , Issue.2 , pp. 195-202
    • Srivastava, H.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.