Extensions of some results of P. Humbert on Bezout's identity classical orthogonal polynomials
(2006) Journal of Computational and Applied Mathematics — Vol. 196, n° 1, p. 212-228 (2006)
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- In this paper, the Bezout's identity is analyzed in the context of classical orthogonal polynomials solution of a second order differential equation of hypergeometric type. Differential equations, relation with the starting family as well as recurrence relations and explicit representations are given for the Bezout's pair. Extensions to classical orthogonal polynomials of a discrete variable and their q-analogues are also presented. Applications of these results for the representation of the second kind functions are given. (c) 2005 Elsevier B.V. All rights reserved.
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Area, I., Godoy, E., Ronveaux, A., & Zarzo, A. (2006). Extensions of some results of P. Humbert on Bezout’s identity classical orthogonal polynomials. Journal of Computational and Applied Mathematics, 196(1), 212-228. https://doi.org/10.1016/j.cam.2005.09.002 (Original work published 2006)