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 note our aim is to point out that certain inequalities for modified Bessel functions of the first and second kind, deduced recently by Laforgia and Natalini, are in fact equivalent to the ...

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 ...

This Chalk Talk highlights applications of a discrete Gaussian in various areas, following a 2025 paper by Chinta, Jorgenson, Karlsson, and Smajlović. The topics include heat diffusion, Bessel ...

Special functions are extremely useful and, as the great American mathematician, R. Askey wrote, 'those who need them and those who know them should start to talk to each other.' As a tribute to Askey ...

Moreover, the BGb profiles operated at wavelength range from 1500 nm to 1630 nm are obtained. The spatial distribution of the light intensity follows the first kind of Bessel function. Last but not ...

Optical fibre, as the basic carrier of modern high-speed and high-capacity communication, is the key to the interconnection of the world. With the rapid development of the communications industry in ...

[1] Zero and one.--[2] Two and three.--[3] Four, five and six.--[4] Seven, eight, and nine.--[5] Ten, eleven, and twelve.--[6] Thirteen, fourteen, and fifteen.--[7 ...