Definition:Modified Bessel Function/First Kind

Definition
A modified Bessel function of the first kind of order $n$ is a modified Bessel function which is non-singular at the origin.

It is usually denoted $\map {I_n} x$, where $x$ is the dependent variable of the instance of Bessel's modified equation to which $\map {I_n} x$ forms a solution.

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

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

Also see

 * Definition:Bessel Function of the First Kind
 * Definition:Bessel Function of the Second Kind


 * Definition:Modified Bessel Function of the Second Kind