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Continued fractions. Analytic theory and applications. (English) Zbl 0603.30009
Encyclopedia of Mathematics and its Applications, Vol. 11. Section: Analysis. Reading, Massachusetts, etc.: Addison-Wesley Publishing Company. Advanced Book Program (1980); Cambridge etc.: Cambridge University press. XXVIII, 428 p. £30.00 (1984).
For a review see the first edition (Addison-Wesley 1980; Zbl 0445.30003).

MSC:
30B70 Continued fractions; complex-analytic aspects
30B10 Power series (including lacunary series) in one complex variable
30-02 Research exposition (monographs, survey articles) pertaining to functions of a complex variable
30E05 Moment problems and interpolation problems in the complex plane
30E15 Asymptotic representations in the complex plane
30E10 Approximation in the complex plane
40A15 Convergence and divergence of continued fractions
33C05 Classical hypergeometric functions, \({}_2F_1\)
41A05 Interpolation in approximation theory
41A21 Padé approximation
11A55 Continued fractions
65D20 Computation of special functions and constants, construction of tables
65G50 Roundoff error
60J80 Branching processes (Galton-Watson, birth-and-death, etc.)