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Orthogonal polynomials, Padé approximations and Julia sets. (English) Zbl 0704.42024

Orthogonal polynomials: theory and practice, Proc. NATO ASI, Colombus/OH (USA) 1989, NATO ASI Ser., Ser. C 294, 55-97 (1990).
[For the entire collection see Zbl 0694.00015.]
The author discusses the theory of orthogonal polynomials induced by the iteration process of replacing a polynomial into itself and introduces Julia sets and invariant measures on Julia sets.
Reviewer: A.N.Srivastava

MSC:

42C05 Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis
41A20 Approximation by rational functions
41A21 Padé approximation

Citations:

Zbl 0694.00015