Bessis, D. 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 Cited in 5 Documents MSC: 42C05 Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis 41A20 Approximation by rational functions 41A21 Padé approximation Keywords:holomorphic function; iteration process; Julia sets Citations:Zbl 0694.00015 PDFBibTeX XML