The second-order self-associated orthogonal sequences
Maroni, P. ; Tounsi, M. Ihsen
J. Appl. Math., Tome 2004 (2004) no. 1, p. 137-167 / Harvested from Project Euclid
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The aim of this work is to describe the orthogonal polynomials sequences which are identical to their second associated sequence. The resulting polynomials are semiclassical of class $s\leq3$ . The characteristic elements of the structure relation and of the second-order differential equation are given explicitly. Integral representations of the corresponding forms are also given. A striking particular case is the case of the so-called electrospheric polynomials.
Publié le : 2004-06-20
Classification:  42C05,  33C45 
@article{1089229337,
     author = {Maroni, P. and Tounsi, M. Ihsen},
     title = {The second-order self-associated orthogonal sequences},
     journal = {J. Appl. Math.},
     volume = {2004},
     number = {1},
     year = {2004},
     pages = { 137-167},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1089229337}
}

Maroni, P.; Tounsi, M. Ihsen. The second-order self-associated orthogonal sequences. J. Appl. Math., Tome 2004 (2004) no. 1, pp.  137-167. http://gdmltest.u-ga.fr/item/1089229337/