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Continued fractions. Analytic theory and applications. (English) Zbl 0445.30003
Encyclopedia of Mathematics and its Applications, Vol. 11. Section: Analysis. Reading, Massachusetts, etc.: Addison-Wesley Publishing Company, Advanced Book Program. XXVIII, 428 p. $ 37.50 (1980).

MSC:
30B70Continued fractions (function-theoretic results)
30B10Power series (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
33C45Orthogonal polynomials and functions of hypergeometric type
41A05Interpolation (approximations and expansions)
41A20Approximation by rational functions
41A21Padé approximation
11A55Continued fractions (number-theoretic results)
65D20Computation of special functions, construction of tables
65G50Roundoff error
60J80Branching processes