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- Jairo A. Charris, Bernarda H. Aldana, Germán Preciado, ON THE RECUNRRENCE RELATIONS, THE CONTINUED FRACTIONS AND THE DETERMINATION OF THE SPECTRAL PROPERTIES OF ORTHOGONAL POLYNOMIALS , Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales: Vol. 27 No. 104 (2003)
- Jairo A. Charris, Carmenza Moreno Roa, SOME FURTHER REMARKS ON THE LOCAL PATHCONNECTEDNESS OF COMPACTIFICATIONS , Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales: Vol. 23 No. 89 (1999)
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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.
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B. H. Aldana, J. A- Charris and O. Mora, On block recursions, Askey's sieved Jacobi polynomials and two related systems. Colloquium Mathematicum, 78 (2001), 57- 91.
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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