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

ISBN-10: 3540115676

ISBN-13: 9783540115670

ISBN-10: 3540392769

ISBN-13: 9783540392767

** Read or Download Analytic Theory of Continued Fractions: Proceedings of a Seminar-Workshop held at Loen, Norway, 1981 PDF**

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**Extra info for Analytic Theory of Continued Fractions: Proceedings of a Seminar-Workshop held at Loen, Norway, 1981**

**Example text**

Fraction Let the open bounded set K(an/l ) V be a value region for the continued Then the following possibilities exist: e) {Sn(W )} + c E CI V for all w E V , or 8) {Sn(W)} converges for two points only to different {Sn(W)} converges limits, or y) It may be of interest for at most one to recall sequence of nested regions 4) Applications of {h } -- n w . 120] {Sn(V )} that case e can occur even though the does n o t shrink to a point. of the Poincare - Pincherle - Perron theorem and the convergence in the limit periodic case.

Paris 200 quadrature formulas, Math. G. Teubner, Stuttgart Colloquium Publications dltes vol. 23, Amer. of continued 37 24. Widder, David Vernon, The Laplace Transform, Princeton Univ. Press, Princeton (1946). 25. N. L. Butzer and F. ) Birkh~user Verlag (1981), 190-202. William B. J. Thron Department of Mathematics Department of Mathematics Campus Box 426 Campus Box 426 University of Colorado University of Colorado Boulder, Colorado 80309 Boulder, Colorado 80309 MODIFICATIONS OF CONTINUED FRACTIONS, A SURVEY.

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.