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Padé approximants. Part I: Basic theory. (English) Zbl 0603.30044

Encyclopedia of Mathematics and its Applications, Vol. 13. Section: Mathematics of Physics. Reading, Massachusetts, etc.: Addison-Wesley Publishing Company. Advanced Book Program (1981); Cambridge etc.: Cambridge University Press. XX, 325 p. £30.00 (1984).
For a review see the first edition (Addison-Wesley 1981; Zbl 0468.30032).

MSC:

30E10 Approximation in the complex plane
41A21 Padé approximation
30-02 Research exposition (monographs, survey articles) pertaining to functions of a complex variable
41-02 Research exposition (monographs, survey articles) pertaining to approximations and expansions
30B70 Continued fractions; complex-analytic aspects