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Volumn 31, Issue 4, 2000, Pages 754-775

Asymptotic expansions of symmetric standard elliptic integrals

Author keywords

Asymptotic expansions; Distributional approach; Elliptic integrals

Indexed keywords


EID: 0034347312     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141099351176     Document Type: Article
Times cited : (24)

References (22)
  • 3
    • 0002723602 scopus 로고
    • The hypergeometric function and the R-function near their branch points
    • special issue
    • B. C. CARLSON, The hypergeometric function and the R-function near their branch points, Rend. Sem. Mat. Univ. Politec. Torino, special issue, (1985), pp. 63-89.
    • (1985) Rend. Sem. Mat. Univ. Politec. Torino , pp. 63-89
    • Carlson, B.C.1
  • 4
    • 0000825250 scopus 로고
    • Asymptotic expansion of the first elliptic integral
    • B. C. CARLSON AND J. L. GUSTAFSON, Asymptotic expansion of the first elliptic integral, SIAM J. Math. Anal., 16 (1985), pp. 1072-1092.
    • (1985) SIAM J. Math. Anal. , vol.16 , pp. 1072-1092
    • Carlson, B.C.1    Gustafson, J.L.2
  • 5
    • 84966247018 scopus 로고
    • A table of elliptic integrals of the second kind
    • B. C. CARLSON, A table of elliptic integrals of the second kind, Math. Comp., 49 (1987), pp. 595-606.
    • (1987) Math. Comp. , vol.49 , pp. 595-606
    • Carlson, B.C.1
  • 6
    • 84966242839 scopus 로고
    • A table of elliptic integrals of the third kind
    • B. C. CARLSON, A table of elliptic integrals of the third kind, Math. Comp., 51 (1988), pp. 267-280.
    • (1988) Math. Comp. , vol.51 , pp. 267-280
    • Carlson, B.C.1
  • 7
    • 84968480620 scopus 로고
    • A table of elliptic integrals: Cubic cases
    • B. C. CARLSON, A table of elliptic integrals: Cubic cases, Math. Comp., 53 (1989), pp. 327-333.
    • (1989) Math. Comp. , vol.53 , pp. 327-333
    • Carlson, B.C.1
  • 8
    • 84966260809 scopus 로고
    • A table of elliptic integrals: One quadratic factor
    • B. C. CARLSON, A table of elliptic integrals: One quadratic factor, Math. Comp., 56 (1991), pp. 267-280.
    • (1991) Math. Comp. , vol.56 , pp. 267-280
    • Carlson, B.C.1
  • 9
    • 84966198524 scopus 로고
    • A table of elliptic integrals: Two quadratic factors
    • B. C. CARLSON, A table of elliptic integrals: Two quadratic factors, Math. Comp., 59 (1992). pp. 165-180.
    • (1992) Math. Comp. , vol.59 , pp. 165-180
    • Carlson, B.C.1
  • 10
    • 21344499241 scopus 로고
    • Asymptotic approximations for symmetric elliptic integrals
    • B. C. CARLSON AND J. L. GUSTAFSON, Asymptotic approximations for symmetric elliptic integrals, SIAM J. Math. Anal., 25 (1994), pp. 288-303.
    • (1994) SIAM J. Math. Anal. , vol.25 , pp. 288-303
    • Carlson, B.C.1    Gustafson, J.L.2
  • 11
    • 0002359814 scopus 로고
    • How elliptic integrals K and E arise from circles and points in the Minkowski plane
    • M. GHANDEHARI AND D. LOGOTHETTI, How elliptic integrals K and E arise from circles and points in the Minkowski plane, J. Geom., 50 (1994), pp. 63-72.
    • (1994) J. Geom. , vol.50 , pp. 63-72
    • Ghandehari, M.1    Logothetti, D.2
  • 13
    • 0002636262 scopus 로고
    • Auxiliary table for the incomplete elliptic integrals
    • E. L. KAPLAN, Auxiliary table for the incomplete elliptic integrals, J. Math. Phys., 27 (1948), pp. 11-36.
    • (1948) J. Math. Phys. , vol.27 , pp. 11-36
    • Kaplan, E.L.1
  • 17
    • 38249008203 scopus 로고
    • An application of elliptic integrals
    • M. RAZPET, An application of elliptic integrals, J. Math. Anal. Appl., 168 (1992), pp. 425-429.
    • (1992) J. Math. Anal. Appl. , vol.168 , pp. 425-429
    • Razpet, M.1
  • 19
    • 84971733501 scopus 로고
    • Elliptic integrals and limit cycles
    • A. M. URBINA ET AL., Elliptic integrals and limit cycles, Bull. Austral. Math. Soc., 48 (1993), pp. 195-200.
    • (1993) Bull. Austral. Math. Soc. , vol.48 , pp. 195-200
    • Urbina, A.M.1
  • 20
    • 0032575474 scopus 로고    scopus 로고
    • Electromagnetic depolarization dyadics and elliptic integrals
    • W. S. WEIGLHOFER, Electromagnetic depolarization dyadics and elliptic integrals, J. Phys. A., 31 (1998), pp. 7191-7196.
    • (1998) J. Phys. A. , vol.31 , pp. 7191-7196
    • Weiglhofer, W.S.1
  • 21
    • 0000390818 scopus 로고
    • Explicit error terms for asymptotic expansions of Mellin convolutions
    • R. WONG, Explicit error terms for asymptotic expansions of Mellin convolutions, J. Math. Anal. Appl., 72 (1979), pp. 740-756.
    • (1979) J. Math. Anal. Appl. , vol.72 , pp. 740-756
    • Wong, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.