Bessel functions describe the radial part of vibrations of a circular membrane. Bessel functions are a class of special functions that commonly appear in problems involving wave motion, heat conduction, …

May 16, 2026 · Bessel function, any of a set of mathematical functions systematically derived around 1817 by the German astronomer Friedrich Wilhelm Bessel. They arise in the solution of Laplace’s …

As Rainville pointed out in his classic booklet [Rainville (1960)], no other special functions have received such detailed treatment in readily available treatises as the Bessel functions. Consequently, we here …

A Bessel beam is a type of light beam whose transverse intensity profile is described by a Bessel function. A key characteristic of a true Bessel beam is that it is non-diffracting, meaning its profile …

Like sines and cosines, Bessel functions are solutions of a differential equation; they are tabulated and their graphs can be drawn; they can be represented as a series; and a large number of formulas …

3 days ago · The Bessel functions of the first kind are defined as the solutions to the Bessel differential equation

Co-founded by Chris Danek, PhD, a Stanford-trained engineer and medtech executive with multiple nine-figure exits, Bessel was born to raise the bar… to build teams that thrive.

4 days ago · Solving Kepler's equation is a common task in astronomy and orbital mechanics. Solving this equation with Fourier series leads to Bessel functions.

Watson systematically explores applications of "Bessel functions" in solving differential equations, Fourier-Bessel series, and boundary-value problems in physics and engineering. The text includes …

In contrast to the Legendre polynomials for the spherical case, these Bessel functions are infinite series. The Bessel equation is second-order, so for given ν there are two independent solutions.