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Volumn 77, Issue 264, 2008, Pages 2277-2293

Identifying minimal and dominant solutions for Kummer recursions

Author keywords

Asymptotic analysis; Confluent hypergeometric functions; Difference equations; Kummer functions; Numerical evaluation of special functions; Recurrence relations; Stability of recurrence relations; Whittaker functions

Indexed keywords


EID: 54249138301     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-08-02122-4     Document Type: Article
Times cited : (9)

References (9)
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    • M. Abramowitz and I. A. Stogun, Handbook of mathematical functions with formulas, graphs. and mathematical tables. National Bureau of Standards Applied Mathematics Scries, 55, U.S. Government Printing Office, Washington, 1964. MR29:4914
    • M. Abramowitz and I. A. Stogun, Handbook of mathematical functions with formulas, graphs. and mathematical tables. National Bureau of Standards Applied Mathematics Scries, vol. 55, U.S. Government Printing Office, Washington, 1964. MR29:4914
  • 2
    • 0000577465 scopus 로고
    • Uniform asymptotic expansions for Whittaker's confluent hypergeometric functions
    • MR990876 90c:33012
    • T. M. Dunster, Uniform asymptotic expansions for Whittaker's confluent hypergeometric functions, SIAM J. Math. Anal. 20 (1989). no. 3, 744-760. MR990876 (90c:33012)
    • (1989) SIAM J. Math. Anal , vol.20 , Issue.3 , pp. 744-760
    • Dunster, T.M.1
  • 3
    • 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 (1967), no. 1, 26-82. MR0213062 (35:3927)
    • (1967) SIAM Review , vol.9 , Issue.1 , pp. 26-82
    • Gautschi, W.1
  • 5
    • 31944433028 scopus 로고    scopus 로고
    • A. Gil, J. Segura, and N. M. Temme, The ABC of hyper recursions. J. Comp. Appl. Math 190 (2006), no. 1, 270-286. MR2209508 (2006m:33003)
    • A. Gil, J. Segura, and N. M. Temme, The ABC of hyper recursions. J. Comp. Appl. Math 190 (2006), no. 1, 270-286. MR2209508 (2006m:33003)
  • 6
    • 40249085363 scopus 로고    scopus 로고
    • Numerically satisfactory solutions of hypergeometric recursions
    • MR2299782
    • -, Numerically satisfactory solutions of hypergeometric recursions. Math. Comp 76 (2007), no. 259, 1449-1468. MR2299782
    • (2007) Math. Comp , vol.76 , Issue.259 , pp. 1449-1468
    • Gil, A.1    Segura, J.2    Temme, N.M.3
  • 7
    • 57049118718 scopus 로고    scopus 로고
    • L. J. Slater, Confluent hypergeometric functions, Cambridge University Press, New York, 1960, MRO107026 (21:5753)
    • L. J. Slater, Confluent hypergeometric functions, Cambridge University Press, New York, 1960, MRO107026 (21:5753)
  • 8
    • 57049121938 scopus 로고    scopus 로고
    • N. M. Temme, Special functions. A Wiley-Interscience Publication, John Wiley &: Sons Inc., New York, 1996, An introduction to the classical functions of mathematical physics. MR97c:33002
    • N. M. Temme, Special functions. A Wiley-Interscience Publication, John Wiley &: Sons Inc., New York, 1996, An introduction to the classical functions of mathematical physics. MR97c:33002
  • 9
    • 0041122953 scopus 로고
    • Uniform asymptotic, expansions of Laplace integrals
    • MR75611785j:41059
    • N. M. Temme, Uniform asymptotic, expansions of Laplace integrals. Analysis 3 (1983). 221-249, MR756117(85j:41059)
    • (1983) Analysis , vol.3 , pp. 221-249
    • Temme, N.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.