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A new class of sum rules for products of Bessel functions

Mathematical Physics 2013-09-02 v2 math.MP

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 JnJ_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.

Keywords

Cite

@article{arxiv.1010.3623,
  title  = {A new class of sum rules for products of Bessel functions},
  author = {G. Bevilacqua and V. Biancalana and Y. Dancheva and T. Mansour and L. Moi},
  journal= {arXiv preprint arXiv:1010.3623},
  year   = {2013}
}

Comments

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