A new class of sum rules for products of Bessel functions

Authors :: Bevilacqua, G.
Biancalana, V.
Dancheva, Y.
Mansour, T.
Moi, L.
Source :: J. Math. Phys. 52, 033508 (2011)
Publication Year :: 2010
Abstract: In this paper we derive a new class of sum rules for products of the Bessel functions of 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[J. Math. Phys. \textbf{23} (1982) 1278] sum rules is performed on a typical example.<br />Comment: Published in Journal of Mathematical Physics, 9 pages, no pictures

Full Text Access

Tools