On recursively defined orthogonal polynomials
HTML articles powered by AMS MathViewer
- by T. S. Chihara PDF
- Proc. Amer. Math. Soc. 16 (1965), 702-710 Request permission
References
-
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.
- T. S. Chihara, Chain sequences and orthogonal polynomials, Trans. Amer. Math. Soc. 104 (1962), 1–16. MR 138933, DOI 10.1090/S0002-9947-1962-0138933-7
- T. S. Chihara, On co-recursive orthogonal polynomials, Proc. Amer. Math. Soc. 8 (1957), 899–905. MR 92015, DOI 10.1090/S0002-9939-1957-0092015-5
- J. A. Shohat and J. D. Tamarkin, The Problem of Moments, American Mathematical Society Mathematical Surveys, Vol. I, American Mathematical Society, New York, 1943. MR 0008438 G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloq. Publ. Vol. 23, Amer. Math. Soc., Providence R. I., 1939.
- H. S. Wall, Analytic Theory of Continued Fractions, D. Van Nostrand Co., Inc., New York, N. Y., 1948. MR 0025596
Additional Information
- © Copyright 1965 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 16 (1965), 702-710
- MSC: Primary 33.40
- DOI: https://doi.org/10.1090/S0002-9939-1965-0179398-7
- MathSciNet review: 0179398