Last edited by Tugis
Sunday, April 26, 2020 | History

2 edition of convergence property of certain T-fraction expansions. found in the catalog.

convergence property of certain T-fraction expansions.

Haakon Waadeland

convergence property of certain T-fraction expansions.

  • 113 Want to read
  • 25 Currently reading

Published by F. Bruns in Trondheim .
Written in English

    Subjects:
  • Continued fractions.,
  • Convergence.

  • Edition Notes

    SeriesDet kongelige Norske videnskabers selskabs Skrifter, 1966. Nr. 9, Skrifter (Kongelige Norske videnskabers selskab) ;, 1966, nr. 9.
    Classifications
    LC ClassificationsAS283 .T8 1966, nr. 9
    The Physical Object
    Pagination22 p.
    Number of Pages22
    ID Numbers
    Open LibraryOL5647547M
    LC Control Number68083493


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convergence property of certain T-fraction expansions. by Haakon Waadeland Download PDF EPUB FB2

A convergence property of certain T-fraction expansions [Haakon Waadeland] on *FREE* shipping on qualifying : Haakon Waadeland. Buy A convergence property of certain T-fraction expansions convergence property of certain T-fraction expansions.

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W. Thron and Haakon Waadeland, Convergence questions for limit periodic continued fractions, Rocky Mountain J. Math.

11, (), Number 4. Google ScholarCited by: A convergence property of certain T-fraction expansions, Kgl. Norske Videnskabers Selskab, Skrifter No. 9 () 1– Njåstad O. () A survey of some results on separate convergence of continued fractions. In: Jacobsen L. (eds) Analytic Theory of Continued Fractions III.

Buy this book on publisher's site; Reprints and Permissions Cited by: 7. Thron and Haakon Waadeland, Accelerating Convergence of Limit Periodic Continued Fractions K(a n /1), Numer. Math. 34 (), – MathSciNetCited by: 3. A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text.

Download Citation | OnW. Thron and others published Modifications of continued fractions, a survey | Find, read and cite all the research you need on ResearchGate.

Continued fraction expansions for a ratio of basic hypergeometric series and Ramanujan-type identities The continued fraction of Heine [15] is a regular C-fraction expansion for () described in the following theorem. Theorem Let a = q", b = qR, and c = qy satisfy ().Author: P. Achuthan, R.

Rangarajan. The knowledge could be that the values in cases of convergence are in a certain set, or it could be a similar statement convergence property of certain T-fraction expansions. book the approximants. The simplest and oldest result dealing with a situation of this kind is by Worpitzky [20]: If all an are in the disk Izi ~ 1/4, then all approximants convergence property of certain T-fraction expansions.

book Ifni ~ 1/2, and the contined fraction by: 1. But so far no project has been devoted to the systematic study of continued fraction representations for these functions. This handbook is the result of convergence property of certain T-fraction expansions.

book an endeavour. We emphasise that only 10% of the continued fractions contained in this book, can also be found in the Abramowitz and Stegun project or at the Wolfram website. It is, however, not necessary for the existence of equilibrium, and some common functional forms employed for the convergence property of certain T-fraction expansions.

book function (used later in this chapter) do not satisfy this condition.4 4. For example, uðc; mÞ ¼ log c þ b log m does not exhibit this property because um ¼ b=m > 0 for all finite m. 36 2 Money-in-the-Utility Function. Actually, I was more general, showing certain sequences of linear fractional transformations can have their regions of convergence expanded by the use of fixed points.

Continued fractions are a special case. Here is a simple example illustrating the use of a fixed point: Given Then For the T-fraction expansion of the power series is.

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By Steven SpalloneFull description. In Section 2 we compare Fourier and Maclaurin series expansions of various ratios /1 (u, k) of Jacobi elliptic functions to derive the Lambert se-ries formulas we need. Section 3 contains a summary of the associated continued fraction and regular C-fraction expansions of.

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