Wall, H. S. Analytic theory of continued fractions. (English) Zbl 0035.03601 New York: D. van Nostrand Company, Inc. xiii, 433 pp. (1948). Reviewer: Josef Mall (Pfarrkirchen) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 9 ReviewsCited in 530 Documents MSC: 30B70 Continued fractions; complex-analytic aspects 30-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable 40A15 Convergence and divergence of continued fractions Keywords:convergence; continued fractions; positive definite continued fractions; J-continued fractions; parabolic theorems; Stieltjes continued fractions; moment problems; analytic functions; Padé tables; Gaussian continued fraction; Stieltjes integral Citations:JFM 55.0262.09 PDF BibTeX XML OpenURL Digital Library of Mathematical Functions: §3.10(iii) Numerical Evaluation of Continued Fractions ‣ §3.10 Continued Fractions ‣ Areas ‣ Chapter 3 Numerical Methods §4.25 Continued Fractions ‣ Trigonometric Functions ‣ Chapter 4 Elementary Functions §4.9(ii) Exponentials ‣ §4.9 Continued Fractions ‣ Logarithm, Exponential, Powers ‣ Chapter 4 Elementary Functions §4.9(i) Logarithms ‣ §4.9 Continued Fractions ‣ Logarithm, Exponential, Powers ‣ Chapter 4 Elementary Functions Chapter 4 Elementary Functions §5.10 Continued Fractions ‣ Properties ‣ Chapter 5 Gamma Function