K. Castillo, D. Mbouna, J. Petronilho
Published 2022-09-10Version 1
In this chapter are given necessary and sufficient conditions for the regularity of solutions of the functional equation appearing in the theory of classical orthogonal polynomials. In addition, we also present the functional Rodrigues formula and a closed formula for the recurrence coefficients. We finally used these results to solve some interesting research problems concerning characterization theorems.
Comments: arXiv admin note: text overlap with arXiv:2102.00033
On the functional equation for classical orthogonal polynomials on lattices
On classical orthogonal polynomials on bi-lattices
A note on parameter derivatives of classical orthogonal polynomials
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