THEORY OF 2-INDEX BESSEL-FUNCTIONS AND APPLICATIONS TO PHYSICAL PROBLEMS

Authors
DATTOLI G LORENZUTTA S MAINO G TORRE A VOYKOV G CHICCOLI C
Citation
G. Dattoli et al., THEORY OF 2-INDEX BESSEL-FUNCTIONS AND APPLICATIONS TO PHYSICAL PROBLEMS, Journal of mathematical physics, 35(7), 1994, pp. 3636-3649
Citations number
7
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
35
Issue
7
Year of publication
1994
Pages
3636 - 3649
Database
ISI
SICI code
0022-2488(1994)35:7<3636:TO2BAA>2.0.ZU;2-H
Abstract
In this article the theory of two-index Bessel functions is presented. Their generating function, series expansion, and integral representat ions are discussed. Their usefulness in physical problems is also disc ussed in the context of analysis of radiation emitted by relativistic electrons in two-frequency undulators. Finally, the theoretical analys is proving addition and multiplication theorems for two-index Bessel f unctions are completed and their modified forms are introduced.