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Volumn 35, Issue , 2009, Pages 88-103

On modified asymptotic series involving confluent hypergeometric functions

Author keywords

Asymptotic expansions; Confluent hypergeometric functions; Convergence and divergence of series and sequences; Saddle point method

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; LAPLACE TRANSFORMS;

EID: 76049130375     PISSN: None     EISSN: 10689613     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (5)

References (11)
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    • Deaño, A.1    Segura, J.2    Temme, N.M.3
  • 3
    • 35348893315 scopus 로고    scopus 로고
    • Transitory minimal solutions of hypergeometric recursions and pseudoconvergence of associated continued fractions
    • A. DEAÑO AND J. SEGURA, Transitory minimal solutions of hypergeometric recursions and pseudoconvergence of associated continued fractions, Math. Comp, 76 (2007), pp. 879-901.
    • (2007) Math. Comp , vol.76 , pp. 879-901
    • Deaño, A.1    Segura, J.2
  • 6
    • 2442426040 scopus 로고    scopus 로고
    • On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. I: Real variable
    • R. B. PARIS,On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. I: real variable, J. Comput. Appl. Math., 167 (2004), pp. 293-319.
    • (2004) J. Comput. Appl. Math. , vol.167 , pp. 293-319
    • Paris, R.B.1
  • 7
    • 0014533782 scopus 로고
    • A note on the summation of divergent power series
    • R. E. SCRATON, A note on the summation of divergent power series, Proc. Cambridge Philos. Soc, 66 (1969), pp. 109-114.
    • (1969) Proc. Cambridge Philos. Soc , vol.66 , pp. 109-114
    • Scraton, R.E.1
  • 9
    • 0016557399 scopus 로고
    • Numerical evaluation of functions arising from transformations of formal series
    • N. M. TEMME, Numerical evaluation of functions arising from transformations of formal series, J. Math. Anal. Appl, 51 (1975), pp. 678-694.
    • (1975) J. Math. Anal. Appl , vol.51 , pp. 678-694
    • Temme, N.M.1
  • 10
    • 76049084674 scopus 로고    scopus 로고
    • A Wiley-Interscience Publication, John Wiley & Sons Inc., New York
    • - Special Functions, A Wiley-Interscience Publication, John Wiley & Sons Inc., New York, 1996.
    • (1996)
    • Functions, S.1
  • 11
    • 3042575021 scopus 로고    scopus 로고
    • Asymptotic approximations of integrals
    • SIAM, Philadelphia, PA
    • R. WONG, Asymptotic Approximations of Integrals, Classics in Applied Mathematics, Vol.34, SIAM, Philadelphia, PA, 2001.
    • (2001) Classics in Applied Mathematics , vol.34
    • Wong, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.