Bessel functions

Bessel functions are special mathematical functions that arise in various scientific and engineering problems, particularly when dealing with waveforms, heat conduction, and vibrations in circular or cylindrical structures. They are named after the mathematician Friedrich Bessel. These functions help describe how waves behave when they encounter obstacles or boundaries that have a circular shape. Bessel functions come in different types, typically denoted as J-n and Y-n, which serve various purposes in applications like signal processing, acoustics, and physics, especially in dealing with problems that involve cylindrical symmetry.