Abstract
It is shown that the generating function of the relativistic Hermite polynomials satisfies an evolution-type equation, which can be solved using straightforward operational techniques. The method developed allows the derivation of the properties of this class of polynomials using almost elementary tools and indicates, in an obvious way, how they can be expressed in terms of Gegenbauer polynomials.
Dattoli, G;
Torre, A;
[1]
Lorenzutta, S;
Maino, G
[2]
- ENEA, Frascati (Italy). Centro Ricerche Energia - Area Energia e Innovazione
- ENEA, Bologna (Italy). Centro Ricerche Energia `E. Clementel` - Area Energetica
Citation Formats
Dattoli, G, Torre, A, Lorenzutta, S, and Maino, G.
Generating function method and properties of relativistic hermite polynomials.
Italy: N. p.,
1994.
Web.
Dattoli, G, Torre, A, Lorenzutta, S, & Maino, G.
Generating function method and properties of relativistic hermite polynomials.
Italy.
Dattoli, G, Torre, A, Lorenzutta, S, and Maino, G.
1994.
"Generating function method and properties of relativistic hermite polynomials."
Italy.
@misc{etde_10123637,
title = {Generating function method and properties of relativistic hermite polynomials}
author = {Dattoli, G, Torre, A, Lorenzutta, S, and Maino, G}
abstractNote = {It is shown that the generating function of the relativistic Hermite polynomials satisfies an evolution-type equation, which can be solved using straightforward operational techniques. The method developed allows the derivation of the properties of this class of polynomials using almost elementary tools and indicates, in an obvious way, how they can be expressed in terms of Gegenbauer polynomials.}
place = {Italy}
year = {1994}
month = {Jun}
}
title = {Generating function method and properties of relativistic hermite polynomials}
author = {Dattoli, G, Torre, A, Lorenzutta, S, and Maino, G}
abstractNote = {It is shown that the generating function of the relativistic Hermite polynomials satisfies an evolution-type equation, which can be solved using straightforward operational techniques. The method developed allows the derivation of the properties of this class of polynomials using almost elementary tools and indicates, in an obvious way, how they can be expressed in terms of Gegenbauer polynomials.}
place = {Italy}
year = {1994}
month = {Jun}
}