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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:
30B70Continued fractions (function-theoretic results)
30B10Power series (one complex variable)
30-02Research monographs (functions of one complex variable)
30E05Moment problems, interpolation problems
30E15Asymptotic representations in the complex domain
30E10Approximation in the complex domain
40A15Convergence and divergence of continued fractions
33C05Classical hypergeometric functions, 2 F 1
41A05Interpolation (approximations and expansions)
41A21Padé approximation
11A55Continued fractions (number-theoretic results)
65D20Computation of special functions, construction of tables
65G50Roundoff error
60J80Branching processes