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 ...
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 ...
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 ...