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Il Nuovo Cimento B (1971-1996)

, Volume 106, Issue 10, pp 1159–1166 | Cite as

A note on the theory ofn-variable generalized bessel functions

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

Summary

In this note we introduce a further generalization of Bessel-type functions, discussing the case of a multivariables and one-index function. This kind of function can be usefully exploited in problems in which the dipole approximation does not hold and many higher harmonics are simultaneously operating. We analyse the relevant recurrence properties, the modified forms and the generating functions.

Keywords

PACS 02.30.Gp Special functions 

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References

  1. [1]
    G. Dattoli, L. Giannessi, L. Mezi andA. Torre:Nuovo Cimento B,105, 527 (1990);G. Dattoli, A. Torre, S. Lorenzutta, G. Maino andC. Chiccoli:Nuovo Cimento B, to be published.MathSciNetGoogle Scholar
  2. [2]
    L. S. Brown andT. W. Kibble:Phys. Rev. A,133, 705 (1964).ADSCrossRefGoogle Scholar
  3. [3]
    N. N. Lebedev:Special Functions and their Applications (Dover, New York, N.Y., 1972).MATHGoogle Scholar

Copyright information

© Società Italiana di Fisica 1991

Authors and Affiliations

  • G. Dattoli
    • 1
  • C. Chiccoli
    • 1
  • S. Lorenzutta
    • 1
  • G. Maino
    • 1
  • M. Richetta
    • 1
  • A. Torre
    • 1
  1. 1.Dipartimento Sviluppo Tecnologia di Punta Centro Ricerche Energia FrascatiENEAFrascati, RomaItalia

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