A new class of sum rules for products of Bessel functions

G. Bevilacqua; V. Biancalana; Y. Dancheva; T. Mansour; L. Moi

doi:10.1063/1.3567410

A new class of sum rules for products of Bessel functions

G. Bevilacqua, V. Biancalana, Y. Dancheva, T. Mansour, L. Moi

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-review

Abstract

We derive a new class of sum rules for products of Bessel functions of the 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 [B. S. Newberger, J. Math. Phys.52, 1278 (1982)] sum rules is performed on a typical example.

Original language	American English
Article number	033508
Journal	Journal of Mathematical Physics
Volume	52
Issue number	3
DOIs	https://doi.org/10.1063/1.3567410
State	Published - 2 Mar 2011

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.3567410

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title = "A new class of sum rules for products of Bessel functions",

abstract = "We derive a new class of sum rules for products of Bessel functions of the first kind. Using standard algebraic manipulations we extend some of the well known properties of Jn. Some physical applications of the results are also discussed. A comparison with the Newberger [B. S. Newberger, J. Math. Phys.52, 1278 (1982)] sum rules is performed on a typical example.",

author = "G. Bevilacqua and V. Biancalana and Y. Dancheva and T. Mansour and L. Moi",

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AU - Bevilacqua, G.

AU - Biancalana, V.

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AU - Mansour, T.

AU - Moi, L.

PY - 2011/3/2

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AB - We derive a new class of sum rules for products of Bessel functions of the first kind. Using standard algebraic manipulations we extend some of the well known properties of Jn. Some physical applications of the results are also discussed. A comparison with the Newberger [B. S. Newberger, J. Math. Phys.52, 1278 (1982)] sum rules is performed on a typical example.

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M3 - Article

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A new class of sum rules for products of Bessel functions

Abstract

All Science Journal Classification (ASJC) codes

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