Bessel functions, central to many problems in mathematical physics, provide solutions to differential equations that describe wave propagation, heat conduction and vibrations in cylindrical or ...
Mathematics of Computation, Vol. 79, No. 270 (APRIL 2010), pp. 829-844 (16 pages) In this paper, we present an efficient Filon-type method for the integration of systems containing Bessel functions ...
A useful identity relating the infinite sum of two Bessel functions to their infinite integral was discovered in Dominici et al. (Dominici et al. 2012 Proc. R. Soc. A 468, 2667–2681). Here, we extend ...
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