Definition:Bessel Function/First Kind

Definition
A Bessel function of the first kind of order $n$ is a Bessel function which is nonsingular at the origin:

Also known as
Some sources (for whatever reason) do not address Bessel functions of the second kind, and as a consequence refer to Bessel functions of the first kind simply as Bessel functions.

Some sources use $p$ to denote the order of the Bessel function.

Also see

 * Series Expansion of Bessel Function of the First Kind‎
 * Bessel Function of the First Kind of Negative Integer Order‎