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Volumn 76, Issue 258, 2007, Pages 879-901

Transitory minimal solutions of hypergeometric recursions and pseudoconvergence of associated continued fractions

Author keywords

Condition and stability; Continued fractions; Hypergeometric functions; Numerical evaluation of special functions; Recurrence relations

Indexed keywords


EID: 35348893315     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-07-01934-5     Document Type: Article
Times cited : (12)

References (8)
  • 1
    • 0004245694 scopus 로고
    • Handbook of Mathematical Functions with formulas, graphs, and mathematical tables
    • M. Abramowitz, I. Stegun (Eds, U.S. Government Printing Office, Washington DC (, MR0167642 29:4914
    • M. Abramowitz, I. Stegun (Eds). Handbook of Mathematical Functions with formulas, graphs, and mathematical tables. National Bureau of Standards. Applied Mathematics Series, no. 55. U.S. Government Printing Office, Washington DC (1964). MR0167642 (29:4914)
    • (1964) National Bureau of Standards. Applied Mathematics Series , Issue.55
  • 2
    • 0002334558 scopus 로고
    • Computational aspects of three-term recurrence relations
    • MR0213062 35:3927
    • W. Gautschi. Computational aspects of three-term recurrence relations. SIAM Review 9, no.1 (1967) 24-82. MR0213062 (35:3927)
    • (1967) SIAM Review , vol.9 , Issue.1 , pp. 24-82
    • Gautschi, W.1
  • 3
    • 84966261673 scopus 로고
    • Anomalous convergence of a continued fraction for ratios of Kummer functions
    • MR0442204 56:590
    • W. Gautschi. Anomalous convergence of a continued fraction for ratios of Kummer functions. Math. Comput., 31, no.140 (1977) 994-999. MR0442204 (56:590)
    • (1977) Math. Comput , vol.31 , Issue.140 , pp. 994-999
    • Gautschi, W.1
  • 6
    • 0003297104 scopus 로고
    • Continued fractions. Analytic theory and applications
    • Addison-Wesley Publishing Co, Reading, Mass, MR0595864 82c:30001
    • W.B. Jones and W.J. Thron. Continued fractions. Analytic theory and applications. Encyclopaedia of Mathematics and its applications. Addison-Wesley Publishing Co., Reading, Mass., 1980. MR0595864 (82c:30001)
    • (1980) Encyclopaedia of Mathematics and its applications
    • Jones, W.B.1    Thron, W.J.2
  • 8
    • 0002314782 scopus 로고
    • The numerical computation of the confluent hypergeometric function U(a, b, z)
    • MR0696551 84g:65030
    • N.M. Temme. The numerical computation of the confluent hypergeometric function U(a, b, z). Numer. Math. 41 (1983) 63-82. MR0696551 (84g:65030)
    • (1983) Numer. Math , vol.41 , pp. 63-82
    • Temme, N.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.