Symbolic methods for the evaluation of sum rules of Bessel functions

Autor(es)

Babusci, D. ^[1] ; Dattoli, G. ^[2] ; Gorska, K. ^{[3, 4]} ; Penson, K. A. ^[5]

Afiliação do(s) autor(es)

^[1] Ist Nazl Fis Nucl, Lab Nazl Frascati, IT-00044 Rome - Italy

^[2] ENEA, Ctr Ric Frascati, IT-00044 Rome - Italy

^[3] Polish Acad Sci, H Niewodniczanski Inst Nucl Phys, PL-31342 Krakow - Poland

^[4] Univ Sao Paulo, Inst Fis, BR-0531597 Sao Paulo - Brazil

^[5] Univ Paris 06, CNRS, UMR 7600, Lab Phys Theor Matiere Condensee, F-75252 Paris 05 - France

• Tipo de documento: Artigo Científico
• Fonte: Journal of Mathematical Physics; v. 54, n. 7 JUL 2013.
• Citações Web of Science: 6

Resumo

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. (C) 2013 AIP Publishing LLC. (AU)

• Processo FAPESP: 10/15698-5 - Estados coerentes e descrição semiclássica de sistemas quânticos dissipativos, sistemas espinoriais, e partículas quânticas relativísticas
• Beneficiário: Katarzyna Górska
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado