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Generalized Bessel functions and Kapteyn series

โœ Scribed by G. Dattoli; A. Torre; S. Lorenzutta; G. Maino

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
511 KB
Volume
35
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

Kapteyn series axe introduced for generaliq.ed 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-vaxiable 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.

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