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Volumn 122, Issue 2, 2003, Pages 249-259

Bounds for symmetric elliptic integrals

Author keywords

Inequalities; Means; Standard elliptic integrals; The R hypergeometric functions

Indexed keywords


EID: 0038347887     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9045(03)00077-7     Document Type: Article
Times cited : (24)

References (13)
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    • (1990) SIAM J. Math. Anal. , vol.21 , Issue.2 , pp. 536-549
    • Anderson, G.D.1    Vamanamurthy, M.K.2    Vuorinen, M.3
  • 2
    • 0010990458 scopus 로고
    • Functional inequalities for hypergeometric functions and complete elliptic integrals
    • G.D. Anderson, M.K. Vamanamurthy, M. Vuorinen, Functional inequalities for hypergeometric functions and complete elliptic integrals, SIAM J. Math. Anal. 23 (2) (1992) 512-524.
    • (1992) SIAM J. Math. Anal. , vol.23 , Issue.2 , pp. 512-524
    • Anderson, G.D.1    Vamanamurthy, M.K.2    Vuorinen, M.3
  • 3
    • 0037815588 scopus 로고
    • Some series and bounds for incomplete elliptic integrals
    • B.C. Carlson, Some series and bounds for incomplete elliptic integrals, J. Math. Phys. 40 (1961) 125-134.
    • (1961) J. Math. Phys. , vol.40 , pp. 125-134
    • Carlson, B.C.1
  • 4
    • 84968486041 scopus 로고
    • A hypergeometric mean value
    • B.C. Carlson, A hypergeometric mean value, Proc. Amer. Math. Soc. 16 (4) (1965) 759-766.
    • (1965) Proc. Amer. Math. Soc. , vol.16 , Issue.4 , pp. 759-766
    • Carlson, B.C.1
  • 5
    • 84966250852 scopus 로고
    • Some inequalities for hypergeometric functions
    • B.C. Carlson, Some inequalities for hypergeometric functions, Proc. Amer. Math. Soc. 17 (1) (1966) 32-39.
    • (1966) Proc. Amer. Math. Soc. , vol.17 , Issue.1 , pp. 32-39
    • Carlson, B.C.1
  • 6
    • 84968514100 scopus 로고
    • Inequalities for a symmetric elliptic integral
    • B.C. Carlson, Inequalities for a symmetric elliptic integral, Proc. Amer. Math. Soc. 25 (3) (1970) 698-703.
    • (1970) Proc. Amer. Math. Soc. , vol.25 , Issue.3 , pp. 698-703
    • Carlson, B.C.1
  • 8
    • 0012173224 scopus 로고
    • Numerical computation of real or complex elliptic integrals
    • B.C. Carlson, Numerical computation of real or complex elliptic integrals, Numer. Algorithms 10 (1995) 13-26.
    • (1995) Numer. Algorithms , vol.10 , pp. 13-26
    • Carlson, B.C.1
  • 9
    • 0000825250 scopus 로고
    • Asymptotic expansion of the first elliptic integral
    • B.C. Carlson, J.L. Gustafson, Asymptotic expansion of the first elliptic integral, SIAM J. Math. Anal. 16 (5) (1985) 1072-1092.
    • (1985) SIAM J. Math. Anal. , vol.16 , Issue.5 , pp. 1072-1092
    • Carlson, B.C.1    Gustafson, J.L.2
  • 10
    • 21344499241 scopus 로고
    • Asymptotic approximations for symmetric elliptic integrals
    • B.C. Carlson, J.L. Gustafson, Asymptotic approximations for symmetric elliptic integrals, SIAM J. Math. Anal. 25 (2) (1994) 288-303.
    • (1994) SIAM J. Math. Anal. , vol.25 , Issue.2 , pp. 288-303
    • Carlson, B.C.1    Gustafson, J.L.2
  • 11
    • 0001314068 scopus 로고
    • The weighted logarithmic mean
    • E. Neuman, The weighted logarithmic mean, J. Math. Anal. Appl. 188 (3) (1994) 885-900.
    • (1994) J. Math. Anal. Appl. , vol.188 , Issue.3 , pp. 885-900
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  • 12
    • 85031157559 scopus 로고    scopus 로고
    • On the Schwab-Borchardt mean
    • submitted
    • E. Neuman, J. Sándor, On the Schwab-Borchardt mean, submitted.
    • Neuman, E.1    Sándor, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.