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 Jn . 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.
Bevilacqua, G., Biancalana, V., Dancheva, Y., Mansour, T., Moi, L. (2011). A new class of sum rules for products of Bessel functions. JOURNAL OF MATHEMATICAL PHYSICS, 52(3), 033508-1-033508-9 [10.1063/1.3567410].
A new class of sum rules for products of Bessel functions
BEVILACQUA, G.;BIANCALANA, V.;
2011-01-01
Abstract
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 Jn . 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.
| File | Dimensione | Formato | |
|---|---|---|---|
|
JMAPAQ523033508_1.pdf
non disponibili
Tipologia:
Post-print
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
133.09 kB
Formato
Adobe PDF
|
133.09 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11365/20208
Attenzione
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo