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Volumn 460, Issue 2049, 2004, Pages 2737-2759

Exactification of the method of steepest descents: The Bessel functions of large order and argument

Author keywords

Asymptotics; Bessel functions; Hadamard expansions; Hyperasymptotics; Laplace type integrals; Method of steepest descents

Indexed keywords

ARTICLE; CALCULATION; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MATHEMATICAL PARAMETERS;

EID: 17144382795     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2004.1307     Document Type: Article
Times cited : (15)

References (10)
  • 2
    • 1942508182 scopus 로고    scopus 로고
    • On the use of Hadamard expansions in hyperasymptotic evaluation: Differential equations of hypergeometric type
    • Kaminski, D. & Paris, R. B. 2004 On the use of Hadamard expansions in hyperasymptotic evaluation: differential equations of hypergeometric type. Proc. R. Soc. Edinb. A 134, 159-178.
    • (2004) Proc. R. Soc. Edinb. A , vol.134 , pp. 159-178
    • Kaminski, D.1    Paris, R.B.2
  • 3
    • 0037114087 scopus 로고    scopus 로고
    • Exactification of the asymptotics for Bessel and Hankel functions
    • Kowalenko, V. 2002 Exactification of the asymptotics for Bessel and Hankel functions. Appl. Math. Computat. 133, 487-518.
    • (2002) Appl. Math. Computat. , vol.133 , pp. 487-518
    • Kowalenko, V.1
  • 5
    • 57249087333 scopus 로고    scopus 로고
    • On the use of Hadamard expansions in hyperasymptotic evaluation. I. Real variables
    • Paris, R. B. 2001a On the use of Hadamard expansions in hyperasymptotic evaluation. I. Real variables. Proc. R. Soc. Lond. A 457, 2835-2853.
    • (2001) Proc. R. Soc. Lond. A , vol.457 , pp. 2835-2853
    • Paris, R.B.1
  • 6
    • 57249083929 scopus 로고    scopus 로고
    • On the use of Hadamard expansions in hyperasymptotic evaluation. II. Complex variables
    • Paris. R. B. 2001b On the use of Hadamard expansions in hyperasymptotic evaluation. II. Complex variables. Proc. R. Soc. Lond. A 457, 2855-2669.
    • (2001) Proc. R. Soc. Lond. A , vol.457 , pp. 2855-12669
    • Paris, R.B.1
  • 7
    • 2442426040 scopus 로고    scopus 로고
    • On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. I. Real variable
    • Paris, R. B. 2004a On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. I. Real variable. J. Comput. Appl. Math. 167, 293-319.
    • (2004) J. Comput. Appl. Math. , vol.167 , pp. 293-319
    • Paris, R.B.1
  • 8
    • 2442560106 scopus 로고    scopus 로고
    • On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. II. Complex variable
    • Paris, R. B. 2004b On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. II. Complex variable. J. Comput. Appl. Math. 167, 321-343.
    • (2004) J. Comput. Appl. Math. , vol.167 , pp. 321-343
    • Paris, R.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.