Abstract
Kapteyn series are introduced for generalized Bessel functions in full analogy with ordinary Bessel functions. Apart from the relevance that Kapteyn series have in astronomical problems and in electromagnetic radiation theory, interest in this type of series is justified by the possibility of expanding analytic functions of a complex variable in series of Bessel functions with specific features. Accordingly, in this paper, it is shown that it is possible to obtain expansions of m-variable analytic functions in series of GBF`s, which reproduce the structure of Kapteyn series of ordinary Bessel functions. The possible field of applications is also suggested.
Dattoli, G;
Torre, A;
[1]
Lorenzutta, S;
Maino, G
[2]
- ENEA, Casaccia (Italy). Area Energia e Innovazione
- ENEA, Frascati (Italy). Centro Ricerche Energia - Area Energia e Innovazione
Citation Formats
Dattoli, G, Torre, A, Lorenzutta, S, and Maino, G.
Generalized Bessel functions and Kapteyn series.
Italy: N. p.,
1994.
Web.
Dattoli, G, Torre, A, Lorenzutta, S, & Maino, G.
Generalized Bessel functions and Kapteyn series.
Italy.
Dattoli, G, Torre, A, Lorenzutta, S, and Maino, G.
1994.
"Generalized Bessel functions and Kapteyn series."
Italy.
@misc{etde_10123630,
title = {Generalized Bessel functions and Kapteyn series}
author = {Dattoli, G, Torre, A, Lorenzutta, S, and Maino, G}
abstractNote = {Kapteyn series are introduced for generalized Bessel functions in full analogy with ordinary Bessel functions. Apart from the relevance that Kapteyn series have in astronomical problems and in electromagnetic radiation theory, interest in this type of series is justified by the possibility of expanding analytic functions of a complex variable in series of Bessel functions with specific features. Accordingly, in this paper, it is shown that it is possible to obtain expansions of m-variable analytic functions in series of GBF`s, which reproduce the structure of Kapteyn series of ordinary Bessel functions. The possible field of applications is also suggested.}
place = {Italy}
year = {1994}
month = {Apr}
}
title = {Generalized Bessel functions and Kapteyn series}
author = {Dattoli, G, Torre, A, Lorenzutta, S, and Maino, G}
abstractNote = {Kapteyn series are introduced for generalized Bessel functions in full analogy with ordinary Bessel functions. Apart from the relevance that Kapteyn series have in astronomical problems and in electromagnetic radiation theory, interest in this type of series is justified by the possibility of expanding analytic functions of a complex variable in series of Bessel functions with specific features. Accordingly, in this paper, it is shown that it is possible to obtain expansions of m-variable analytic functions in series of GBF`s, which reproduce the structure of Kapteyn series of ordinary Bessel functions. The possible field of applications is also suggested.}
place = {Italy}
year = {1994}
month = {Apr}
}