Abstract: This appendix talks about Bessel functions. Zeros of the ordinary Bessel function and its derivative can be approximated by the first two terms of McMahon's expansion. The chapter shows the ...

Abstract: Modified Bessel functions of the second kind are widely used in physics, engineering, spatial statistics, and machine learning. Since contemporary scientific applications, including machine ...

Geometric Function Theory is a vibrant field that investigates the geometric properties of analytic functions, including univalence, starlikeness, and convexity, which are key to understanding their ...

This is the repo to the manuscript GPU-Accelerated Modified Bessel Function of the Second Kind for Gaussian Processes (https://arxiv.org/pdf/2502.00356) Modified ...

The Bessel beams scattering of the fog particles were calculated by using the plane beams angle spectrum expansion method, and the effects of the topological charge and the half-conic angle of the ...

ABSTRACT: By applying the q-derivative, we introduce two new subclasses of p-valent functions with positive coefficients. By means of the well-known Jack’s lemma, some inequalities related to starlike ...

The JROOT function returns an n ×2 matrix with the calculated roots in the first column and the derivatives in the second column. The inputs to the JROOT function are as follows: is a scalar denoting ...