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 ...

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 ...

AbstractWe define a new difference equation analogue of the Bessel differential equation and investigate the properties of its solution, which we express using a ₂𝐹₁ hypergeometric function. We find ...

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 ...