Fourier expansions and multivariable Bessel functions concerning radiation problems

G. Dattoli, C. Chiccoli, S. Lorenzutta, G. Maino, M. Richetta, A. Torre

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Abstract

The link between generalized Bessel functions and other special functions is investigated using the Fourier series and the generalized Jacobi-Anger expansion. A new class of multivariable Hermite polynomials is then introduced and their relevance to physical problems discussed. As an example of the power of the method, applied to radiation physics, we analyse the role played by multi-variable Bessel functions in the description of radiation emitted by a charge constrained to a nonlinear oscillation.
Original languageEnglish
Pages (from-to)183 - 189
Number of pages7
JournalRadiation Physics and Chemistry
Volume47
Issue number2
DOIs
Publication statusPublished - 1996
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Radiation

Cite this

Dattoli, G., Chiccoli, C., Lorenzutta, S., Maino, G., Richetta, M., & Torre, A. (1996). Fourier expansions and multivariable Bessel functions concerning radiation problems. Radiation Physics and Chemistry, 47(2), 183 - 189. https://doi.org/10.1016/0969-806X(95)00036-W