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Volumn 356, Issue 1737, 1998, Pages 583-623

Asymptotics of a class of multidimensional Laplace-type integrals. I. Double integrals

Author keywords

Asymptotic expansions; Iterated Meilin Barnes integrals; Newton diagram; Single critical point

Indexed keywords


EID: 3142536459     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.1998.0179     Document Type: Article
Times cited : (9)

References (14)
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    • Dostal, M. & Gaveau, B. 1987 Développements asymptotiques explicites d'intégrales de Fourier pour certains points critiques dégénérés. C. R. Acad. Sci. Paris 1305, 857-859.
    • (1987) C. R. Acad. Sci. Paris , vol.1305 , pp. 857-859
    • Dostal, M.1    Gaveau, B.2
  • 4
    • 0004603287 scopus 로고
    • The stationary phase method for certain degenerate critical points. I
    • Dostal, M. & Gaveau, B. 1989 The stationary phase method for certain degenerate critical points. I. Can. J. Math. 41, 907-931.
    • (1989) Can. J. Math. , vol.41 , pp. 907-931
    • Dostal, M.1    Gaveau, B.2
  • 6
    • 78751518070 scopus 로고
    • Asymptotic expansions of multiple integrals and the method of stationary phase
    • Jones, D. S. & Kline, M. 1958 Asymptotic expansions of multiple integrals and the method of stationary phase. J. Math. Phys. 37, 1-28.
    • (1958) J. Math. Phys. , vol.37 , pp. 1-28
    • Jones, D.S.1    Kline, M.2
  • 7
    • 85020761409 scopus 로고    scopus 로고
    • Asymptotics via iterated Mellin-Barnes integrals: Application to the generalised Faxén integral
    • Kaminski, D. & Paris, R. B. 1997 Asymptotics via iterated Mellin-Barnes integrals: application to the generalised Faxén integral. Methods Appl. Anal. 4, 311-325.
    • (1997) Methods Appl. Anal. , vol.4 , pp. 311-325
    • Kaminski, D.1    Paris, R.B.2
  • 8
    • 0001249127 scopus 로고
    • Intégrales asymptotiques et monodromie
    • Malgrange, B. 1974 Intégrales asymptotiques et monodromie. Ann. Sci. Éc. Norm. Sup. IV 7, 405-430.
    • (1974) Ann. Sci. Éc. Norm. Sup. IV , vol.7 , pp. 405-430
    • Malgrange, B.1
  • 10
    • 0004589863 scopus 로고
    • Asymptotics of high order differential equations
    • Series, Harlow: Longman Scientific & Technical
    • Paris, R. B. & Wood, A. D. 1980 Asymptotics of high order differential equations, Pitman Res. Notes in Math. Series, vol. 129. Harlow: Longman Scientific & Technical.
    • (1980) Pitman Res. Notes in Math. , vol.129
    • Paris, R.B.1    Wood, A.D.2
  • 12
    • 0000896109 scopus 로고
    • Asymptotic exponential integrals, Newton's diagram, and the classification of minimal points
    • Vasil'ev, V. A. 1977 Asymptotic exponential integrals, Newton's diagram, and the classification of minimal points. Functional Analyt. Appl. 11, 163-172.
    • (1977) Functional Analyt. Appl. , vol.11 , pp. 163-172
    • Vasil'ev, V.A.1
  • 14
    • 84966200423 scopus 로고
    • On a method of asymptotic evaluation of multiple integrals
    • Wong, R. & McClure, J. P. 1981 On a method of asymptotic evaluation of multiple integrals. Math. Comp. 37, 509-521.
    • (1981) Math. Comp. , vol.37 , pp. 509-521
    • Wong, R.1    McClure, J.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.