On the classical {$d$}-orthogonal polynomials defined by certain generating functions. I

Ben Cheikh, Youssèf; Douak, Khalfa

Bull. Belg. Math. Soc. Simon Stevin, Tome 7 (2000) no. 4, p. 107-124 / Harvested from Project Euclid

Résumé

Publié le : 2000-05-14
Classification: Orthogonal polynomials, {$d$}-orthogonal polynomials, generating functions, recurrence relations, Hermite polynomials, Gegenbauer (ultraspherical) polynomials, Humbert polynomials, 33C45, 42C05

@article{1103055723,
     author = {Ben Cheikh, Youss\`ef and Douak, Khalfa},
     title = {On the classical {$d$}-orthogonal polynomials defined by certain generating functions. I},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {7},
     number = {4},
     year = {2000},
     pages = { 107-124},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1103055723}
}

Ben Cheikh, Youssèf; Douak, Khalfa. On the classical {$d$}-orthogonal polynomials defined by certain generating functions. I. Bull. Belg. Math. Soc. Simon Stevin, Tome 7 (2000) no. 4, pp.  107-124. http://gdmltest.u-ga.fr/item/1103055723/