A new class of sum rules for products of Bessel functions

A new class of sum rules for products of Bessel functions

We derive a new class of sum rules for products of Bessel functions of the first kind. Using standard algebraic manipulations we extend some of the well known properties of J n . Some physical applications of the results are also discussed. A comparison with the Newberger [B. S. Newberger, J. Math....

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Veröffentlicht in:Journal of mathematical physics 2011-03, Vol.52 (3), p.033508-033508-9
Hauptverfasser: Bevilacqua, G., Biancalana, V., Dancheva, Y., Mansour, T., Moi, L.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Physics
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Beschreibung
Zusammenfassung:We derive a new class of sum rules for products of Bessel functions of the first kind. Using standard algebraic manipulations we extend some of the well known properties of J n . Some physical applications of the results are also discussed. A comparison with the Newberger [B. S. Newberger, J. Math. Phys. 52, 1278 (1982)] sum rules is performed on a typical example.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.3567410