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 ...

In this paper, we prove an exponential integral formula for the Fourier transform of Bessel functions over complex numbers, along with a radial exponential integral formula. The former will enable us ...

Quarterly of Applied Mathematics, Vol. 70, No. 1 (March 2012), pp. 77-97 (21 pages) This note deals with the Laplace transforms of integrands of the form xλ Jα (ax) Jβ (bx), which are found in ...