The product of a regular form by a polynomial generalized: the case $xu=\lambda x^2v$
Kamech, O.F. ; Mejri, M.
Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, p. 311-334 / Harvested from Project Euclid
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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.
Publié le : 2008-05-15
Classification:  Orthogonal polynomials,  quasi-definite forms,  42C05,  33C45 
@article{1210254828,
     author = {Kamech, O.F. and Mejri, M.},
     title = {The product of a regular form by a polynomial generalized:
 the case $xu=\lambda x^2v$},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {15},
     number = {1},
     year = {2008},
     pages = { 311-334},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1210254828}
}

Kamech, O.F.; Mejri, M. The product of a regular form by a polynomial generalized:
 the case $xu=\lambda x^2v$. Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, pp.  311-334. http://gdmltest.u-ga.fr/item/1210254828/