Symbolic methods for the evaluation of sum rules of Bessel functions

D. Babusci, G. Dattoli, K. Górska, K.A. Penson

Research output: Contribution to journalArticle

8 Citations (Scopus)


The use of the umbral formalism allows a significant simplification of the derivation of sum rules involving products of special functions and polynomials. We rederive in this way known sum rules and addition theorems for Bessel functions. Furthermore, we obtain a set of new closed form sum rules involving various special polynomials and Bessel functions. The examples we consider are relevant for applications ranging from plasma physics to quantum optics. © 2013 AIP Publishing LLC.
Original languageEnglish
Article number073501
Pages (from-to)-
JournalJournal of Mathematical Physics
Issue number7
Publication statusPublished - 1 Jul 2013
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this