Sobolev orthogonal polynomials: Connection formulae
Costas-Santos, R. S. Redel. Revista Granmense de Desarrollo Local 6 no. 4 (2022), 25 — 34Abstract
This contribution aims to obtain several connection formulae for the polynomial sequence, which is orthogonal with respect to the discrete Sobolev inner product \[ \langle f, g\rangle_n=\langle {\bf u}, fg\rangle+ \sum_{j=1}^M \mu_{j} f^{(\nu_j)}(c_j) g^{(\nu_j)}(c_j), \] where \({\bf u}\) is a classical linear functional, \(c_j\in \mathbb R\), \(\nu_j\in \mathbb N_0\), \(j=1, 2,...., M\). The Laguerre case will be considered.
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@article{costas2022sobolev, TITLE={Sobolev orthogonal polynomials: Connection formulae}, AUTHOR={Costas-Santos, R. S.}, JOURNAL={Redel. Revista Granmense de Desarrollo Local}, VOLUME={6}, NUMBER={4}, PAGES={25--34}, YEAR={2022}, URL={https://ediciones.udg.co.cu/libros/index.php/libros/catalog/view/26/56/135-1}, }