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Volumn 24, Issue 1-2, 2000, Pages 117-139

The elliptic functions and integrals of the "1/9" problem

Author keywords

Complex approximation; Rational approximation

Indexed keywords


EID: 0043228849     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1019141226189     Document Type: Article
Times cited : (3)

References (24)
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    • (1984) Lecture Notes in Mathematics , vol.1105 , pp. 383-411
    • Carpenter, A.J.1    Ruttan, A.2    Varga, R.S.3
  • 8
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    • A.A. Gonchar and E.A. Rakhmanov, Equilibrium distribution and the degree of rational approximation of analytic functions, Mat. Sbornik 134(176) (1987) 306-352; Math. USSR Sb. 62 (1989) 305-348.
    • (1987) Mat. Sbornik , vol.134 , Issue.176 , pp. 306-352
    • Gonchar, A.A.1    Rakhmanov, E.A.2
  • 9
    • 33645378339 scopus 로고
    • A.A. Gonchar and E.A. Rakhmanov, Equilibrium distribution and the degree of rational approximation of analytic functions, Mat. Sbornik 134(176) (1987) 306-352; Math. USSR Sb. 62 (1989) 305-348.
    • (1989) Math. USSR Sb. , vol.62 , pp. 305-348
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    • Orthogonal polynomials for exponential weights
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    • On the use of Carathéodory-Fejér method for investigating "1/9" and similar constants
    • ed. A. Cuyt Reidel, Dordrecht
    • A.P. Magnus, On the use of Carathéodory-Fejér method for investigating "1/9" and similar constants, in: Nonlinear Numerical Methods and Rational Approximation, ed. A. Cuyt (Reidel, Dordrecht, 1988) pp. 105-132.
    • (1988) Nonlinear Numerical Methods and Rational Approximation , pp. 105-132
    • Magnus, A.P.1
  • 17
    • 0005493050 scopus 로고
    • Asymptotics and super asymptotics of best rational approximation error norms for the exponential function (the "1/9" problem) by the Carathéodory-Fejér method
    • ed. A. Cuyt Kluwer, Dordrecht
    • A.P. Magnus, Asymptotics and super asymptotics of best rational approximation error norms for the exponential function (the "1/9" problem) by the Carathéodory-Fejér method, in: Nonlinear Methods and Rational Approximation II, ed. A. Cuyt (Kluwer, Dordrecht, 1994) pp. 173-185.
    • (1994) Nonlinear Methods and Rational Approximation II , pp. 173-185
    • Magnus, A.P.1
  • 18
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  • 19
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  • 21
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  • 22
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  • 23
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