A new class of sum rules for products of Bessel functions

Details A new class of sum rules for products of Bessel functions A new class of sum rules for products of Bessel functions

2010-10-18

arxiv.org/abs/1010.3623v2

J. Math. Phys. 52, 033508 (2011)

Physics

Mathematical Physics

Published in Journal of Mathematical Physics, 9 pages, no pictures

Scientific paper

10.1063/1.3567410

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.

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