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 ...

The Hadamard expansion procedure applied to Laplace-type integrals taken along contours in the complex plane enables an exact description of the method of steepest ...

You frequently need to determine the Bessel function of the first kind, J n (x), for the analysis of modulated and complex waveforms. Such analyses could include, for example, routine verification of ...

The Bessel beam, with a significant depth of field and self-healing characteristics, has been applied in widespread applications, including quantum entanglement, underwater 3D imaging, optical ...

The BESELLI function is an Engineering function, and its purpose is to return the modified Bessel function in(x). The formula for the BESSELI function is BESSELI (X, N). The syntax for the BESSELI ...