Abstract
We consider the problem: given a regular form (linear functional) $v$, find all the regular forms $u$ which satisfy the relation $xu=\lambda x^2v,\lambda \in\C -\{0\}$. We give the second-order recurrence relation of the orthogonal polynomial sequence with respect to $u$. Some examples are studied.
Citation
O.F. Kamech. M. Mejri. "The product of a regular form by a polynomial generalized: the case $xu=\lambda x^2v$." Bull. Belg. Math. Soc. Simon Stevin 15 (2) 311 - 334, May 2008. https://doi.org/10.36045/bbms/1210254828
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