Difference Equations for Hypergeometric Polynomials from the Askey Scheme. Some Resultants. Discriminants,
Nikolova, Inna
Methods Appl. Anal., Tome 11 (2004) no. 1, p. 001-014 / Harvested from Project Euclid
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It is proven that every sequence from the Askey scheme of hypergeometric polynomials satisfies differentials or difference equations of first order of the form $T p_{n}(x) = A_{n}(x) p_{n-1}(x) - B_{n}(x) p_{n}(x)$, where T is a linear degree reducing operator, which leeds to the fact that these polynomial sets satisfy a relation of the form $p^{'}_{n}(x) = A_{n}(x) p_{n-1}(x) - B_{n}(x) p_{n}(x)$.
Publié le : 2004-03-14
Classification:  
@article{1118850846,
     author = {Nikolova, Inna},
     title = {Difference Equations for Hypergeometric Polynomials from the
Askey Scheme. Some Resultants. Discriminants,},
     journal = {Methods Appl. Anal.},
     volume = {11},
     number = {1},
     year = {2004},
     pages = { 001-014},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1118850846}
}

Nikolova, Inna. Difference Equations for Hypergeometric Polynomials from the
Askey Scheme. Some Resultants. Discriminants,. Methods Appl. Anal., Tome 11 (2004) no. 1, pp.  001-014. http://gdmltest.u-ga.fr/item/1118850846/