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

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. …

Oct 7, 2025 · 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 …

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

Bessel, a German astronomer, was born in Minden, Prussia, in 1784 and died in K ̈onigsberg, Prussia (now Russia) in 1846. At the age of 20, he recalculated the orbit of Halley’s comet, …

Maximon Center for Nuclear Studies, Department of Physics, The George Washington University, Washington, D.C. This chapter is based in part on Abramowitz and Stegun (1964, Chapters 9, …

Bessel’s equation is a second-order differential equation with two linearly independent solutions. A second-order differential equation has two independent variables, where the highest order …