 sinx x if x 6= 0 1 otherwise This function is important in many areas of computing science, approximation theory, and numerical analysis. For example, it is used in interpolation and approximation of functions, approximate evaluation of transforms (e.g. Hilbert, Fourier, Laplace, Hankel, and Mellon transforms as well as the fast Fourier transform). It is used in finding approximate solutions ...

We use the Paley–Wiener theorem for the Fourier and Hankel transforms to compare Fourier and Hankel Sampling.

in this article using the inverse laplace transform, we show analytical solutions for the generalized mass transfers with (and without) a chemical reaction. these transfers have been expressed as the couette flow with the fractional derivative of the caputo sense. also, using the hankel contour for the bromwich's integral, the solutions are given in terms of the generalized airy functions.

This paper investigates the magnetic blood flow in an inclined multi-stenosed artery under influence of a uniformly distributed field and oscillating pressure gradient. The is modelled using non-Newtonian Casson fluid model. governing fractional differential equations are expressed by Caputo-Fabrizio derivative without singular kernel. Exact analytical solutions obtained Laplace finite Hankel t...

This article deals with the influence of porous media on Helical flows Generalized Oldroyd-B between two infinite coaxial circular cylinders .The fractional derivative are modeled for this problem and studied by using finite Hankel Laplace transforms velocity fields founded fundamentals series form in terms Mittag-leffler equation . The research focused parameters like (permeability parameter z...