Keywords
moment functionals
orthogonal polynomials
spectral measures
Chebyshev polynomials
sieved orthogonal polynomials
How to Cite
Abstract
Some results in the theory of orthogonal polynomials, which are centered on the three term recurrence relation and its corresponding continued fraction, are described. The purpose is to show how they can be used to determine the spectral measures of the polynomials.
References
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J. A. Charris and F. Soriano, On the distributional orthogonality of the general Pollaczek polynomials. Internat. J. Math. and Math. Sci., 19 (1996), 417- 426.
J. A_ Charris and O. Mora, On block recursions and the determination of spectral measures from continued fractions. Internat . J . Appl. Math., 1 ( 1999), 635-688.
T. S. Chihara, An Introduction to Orthogonal Polynomials. Gordon and Breach, New York, 1978.
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