Analytic theory of continued fractions II : proceedings of a seminar-workshop held in Pitlochry and Aviemore, Scotland, June 13-29, 1985

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Analytic theory of continued fractions II : proceedings of a seminar-workshop held in Pitlochry and Aviemore, Scotland, June 13-29, 1985

edited by W.J. Thron

(Lecture notes in mathematics, 1199)

Springer-Verlag, 1986

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Includes bibliographies

Description and Table of Contents

Table of Contents

A family of best value regions for modified continued fractions.- On M-tables associated with strong moment problems.- A strategy for numerical computation of limits regions.- On the convergence of limit periodic continued fractions K(an/1), where an??1/4. Part II.- A theorem on simple convergence regions for continued fractions K(an/1).- Further results on the computation of incomplete gamma functions.- Oval convergence regions and circular limit regions for continued fractions K(an/1).- Schur fractions, Perron-Caratheodory fractions and Szegoe polynomials, a survey.- Equimodular limit periodic continued fractions.- Continued fraction applications to zero location.- A multi-point pade approximation problem.- ?-fractions and strong moment problems.- On the convergence of a certain class of continued fractions K(an/1) with an??.- A note on partial derivatives of continued fractions.

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