Reflections on value regions, limit regions and truncation errors for continued fractions

Baker, G.A., Jr.: Best error bounds for Padé approximants to convergent series of Stieltjes. J. Math. Phys.10, 814?820 (1969)

Common, A.D.: Padé approximants and bounds to series of Stiltjes. J. Math. Phys.9, 32?38 (1968)

Gragg, W.B.: Truncation error bounds forg-fractions. Numer. Math.11, 370?379 (1968)

Gragg, W.B.: Truncation error bounds for ?-fractions. Bull. Am. Math. Soc.6, 1091?1094 (Sept. 1980).

Gragg, W.B.: Truncation error bounds forT-fractions. Approximation III. New York: Academic Press pp. 455?460 (1980)

Henrici, P., Pfluger, P.: Truncation error estimates for Stieltjes fractions. Numer. Math.9, 120?138 (1966)

Jacobsen, L.: Some Periodic Sequences of Circular Convergence Regions. Lect. Notes Math.932, 87?98 (1982)

Jacobsen, L.: Modified Approximants for Continued Fractions. Construction and Applications. Norske Vid. Selsk. Skr. 3. Trondheim 1983

Jefferson, T.H.: Truncation error estimates forT-fractions. SIAM J. Numer. Anal.6, 359?364 (1969)

Jones, W.B.: Multiple point Padé tables. In: Padé and Rational Approximation. (E.B. Saff, R.S. Varga, ed.), pp. 163?171. New York: Academic Press 1977

Jones, W.B., Thron, W.J.: Twin Convergence Regions for Continued FractionsK(a n /1). Trans. Am. Math. Soc.150, 93?119 (1970)

Jones, W.B., Thron, W.J.: Truncation error analysis by means of approximant systems and inclusion regions. Numer. Math.26, 117?154 (1976)

Jones, W.B., Thron, W.J.: Continued Fractions: Analytic Theory and Applications. Encyclopedia of Mathematics and its Applications, vol. 11. Reading, Ma: Addison-Wesley 1980

Jones, W.B., Thron, W.J., Waadeland, H.: Truncation Error Bounds for Continued Fractions. SIAM J. Numer. Anal.20, (6) 1219?1230 (1983)

Jones, W.B., Thron, W.J., Waadeland, H.: Value Regions for Continued Fractions whose Elements lie in Parabolic Regions. Math. Scand., vol. 56 (1985)

Lane, R.E.: The Convergence and Values of Periodic Continued Fractions. Bull. Am. Math. Soc.51, 246?250 (1945)

Leighton, W., Thron, W.J.: Continued Fractions with Complex Elements. Duke Math. J.9, 963?972 (1942)

Leighton, W., Thron, W.J.: On Value Regions of Continued Fractions. Bull. Am. Math. Soc.48, 917?920 (Dec. 1942)

Overholt, M.: The Values of Continued Fractions with Complex Elements. Det Kongelige Norske Videnskabers Selskabs Skrifter. No. 1, 109?116 (1983)

Rye, E.: On Limit Regions and Modified Truncation Errors for Continued Fractions. Thesis for the Degree Cand. Scient. The University of Trondheim (Norwegian)

Thron, W.J.: On parabolic convergence regions for continued fractions. Math. Z.69, 173?182 (1958)

Worpitzky, J.: Untersuchungen über die Entwicklung der monodromen und monogenen Funktionen durch Kettenbrüche. Friedrichs-Gymnasium und Realschule Jahresbericht, Berlin, pp. 3?39 (1865)