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On recursively defined orthogonal polynomials. (English) Zbl 0171.32901

Keywords:
special functions
Full Text:
References:
 [1] O. Blumenthal, Ueber die Entwicklung einer wilkürlichen Funktion nach den Nennern des Kettenbruches für $$\smallint _{ - \infty }^0[ {\phi (\xi )/(z - \xi )} ]d\xi$$, Inaugural-Dissertation, Göttingen, 1898, 57 pp. · JFM 29.0364.01 [2] T. S. Chihara, Chain sequences and orthogonal polynomials, Trans. Amer. Math. Soc. 104 (1962), 1 – 16. · Zbl 0171.32804 [3] T. S. Chihara, On co-recursive orthogonal polynomials, Proc. Amer. Math. Soc. 8 (1957), 899 – 905. · Zbl 0080.27305 [4] J. A. Shohat and J. D. Tamarkin, The Problem of Moments, American Mathematical Society Mathematical surveys, vol. I, American Mathematical Society, New York, 1943. · Zbl 0063.06973 [5] G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloq. Publ. Vol. 23, Amer. Math. Soc., Providence R. I., 1939. · JFM 65.0278.03 [6] H. S. Wall, Analytic Theory of Continued Fractions, D. Van Nostrand Company, Inc., New York, N. Y., 1948. · Zbl 0035.03601
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