On functions defined by sums of products of Bessel functions
نویسنده
چکیده
Received 28 June 2007, in final form 13 November 2007 Published 12 December 2007 Online at stacks.iop.org/JPhysA/41/015207 Abstract Various functions, defined as infinite series of products of Bessel functions of the first kind, are studied. Integral representations are obtained, and then used to deduce asymptotic approximations. Although several methods have been investigated (including power series expansions and integral transforms), methods based on Fourier series emerge as the most useful. PACS numbers: 02.30.Gp, 02.30.Mv Mathematics Subject Classification: 33C10, 33C20, 41A60, 33J05
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