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By William B. Jones, W. J. Thron, Haakon Waadeland (eds.)

ISBN-10: 3540115676

ISBN-13: 9783540115670

ISBN-10: 3540392769

ISBN-13: 9783540392767

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A. , An algorithm for Gaussian quadrature given modified moments, Numer. Math. 18 (1971/72), 465-478. 19. , Quelques recherches sur la theorie des quadratures mechanlques, Ann. Sci. Ec. , Paris (3) i (1884), 409-426. 20. , Orthogonal Polynomials, Math. , New York (1959). 21. , New York (1953). 22. , Convergence of infinite exponentials with complex elements, Proc. Amer. Math. Soc. 8 (1957), 1040-1043. 23. J. and Waadeland, Haakon, Survey of modifications fractions, these Lecture Notes. R. Acad.

Table 3. 04848 00675 formula for floating decimal representations. 47903 44467(-8) 51817(-5) 51046(-3) 90887(-2) 87220(-2) 14160(-1) 00696(-2) 27969(-2) 31390(-4) 89245(-6) 33 the quadrature method described in the present paper is much better suited for the types of integrals chosen in these cases. Table 4. GQ(n) = GQ)n) Approximation of by quadrature formula (n)_. (n). L w~ Fit~ ) SD(n) denotes the number of significant digits in j=l o o given by SD(n) = -loglOl(l-GQ(n))/l I , ! 00000 818 178 996 176 738 269 104 042 Agknowledgement.

93-104. 15. Meyer, Burnett, On continued fractions corresponding submitted. 16. H. A. Murphy, Continued fractions which correspond to power series expansions at two points, ~. Maths. A~plics. 17 (1976), 233-247. 17. , Die Lehre von den Kettenbr~chen, (1957). 18. A. , An algorithm for Gaussian quadrature given modified moments, Numer. Math. 18 (1971/72), 465-478. 19. , Quelques recherches sur la theorie des quadratures mechanlques, Ann. Sci. Ec. , Paris (3) i (1884), 409-426. 20. , Orthogonal Polynomials, Math.

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Analytic Theory of Continued Fractions: Proceedings of a Seminar-Workshop held at Loen, Norway, 1981 by William B. Jones, W. J. Thron, Haakon Waadeland (eds.)


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