# Bessel Function of the First Kind

A Bessel function of the first kind is a solution to a particular nonlinear second-order differential equation. Bessel functions appear in many physics applications when solving classical partial differential equations in cylindrical coordinates.

Bessel function of the first kind is a college-level concept that would be first encountered in a differential equations course.

### Prerequisites

Ordinary Differential Equation: | An equality involving a function and its derivatives. |

Second-Order Ordinary Differential Equation: | A second-order ordinary differential equation is an ordinary differential equation that contains derivatives of second order but of no higher orders. |

Series: | In mathematics, a series is an (often infinite) sum of terms specified by some rule. |