Orthogonality properties of $C$-fractions
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- by Evelyn Frank PDF
- Bull. Amer. Math. Soc. 55 (1949), 384-390
References
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1. E. B. Christoffel, Über die Gaussische Quadratur und eine Verallgemeinerung derselben, J. Reine Angew. Math. vol. 55 (1858) pp. 61-82.
2. G. Darboux, Mémoire sur l’approximation des fonctions de très grande nombres J. Math. Pures Appl. (3) vol. 4 (1878) pp. 377-416.
- Evelyn Frank, Corresponding type continued fractions, Amer. J. Math. 68 (1946), 89–108. MR 15533, DOI 10.2307/2371743
- J. Geronimus, On polynomials orthogonal with regard to a given sequence of numbers, Comm. Inst. Sci. Math. Méc. Univ. Kharkoff [Zapiski Inst. Mat. Mech.] (4) 17 (1940), 3–18 (Russian, with English summary). MR 0004339 5. O. Perron, Die Lehre von den Kettenbrüchen, Leipzig, Teubner, 1929. 6. T. J. Stieltjes, Oeuvres, vol. 2, Groningen, Noordhoff, 1918.
- H. S. Wall, Note on the expansion of a power series into a continued fraction, Bull. Amer. Math. Soc. 51 (1945), 97–105. MR 11341, DOI 10.1090/S0002-9904-1945-08280-9
Additional Information
- Journal: Bull. Amer. Math. Soc. 55 (1949), 384-390
- DOI: https://doi.org/10.1090/S0002-9904-1949-09218-2
- MathSciNet review: 0030020