The impact of Stieltjes' work on continued fractions and orthogonal polynomials
Walter Van Assche
Abstract
Stieltjes' work on continued fractions and the orthogonal polynomials related to continued fraction expansions is summarized and an attempt is made to describe the influence of Stieltjes' ideas and work in research done after his death, with an emphasis on the theory of orthogonal polynomials.
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