Definition:Modified Bessel Function/Order
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Definition
Consider Bessel's modified equation:
- $x^2 \dfrac {\d^2 y} {\d x^2} + x \dfrac {\d y} {\d x} - \paren {x^2 + n^2} y = 0$
Let:
- $\map {I_n} x$ denote the modified Bessel function of the first kind
- $\map {K_n} x$ denote the modified Bessel function of the second kind
be the solutions of Bessel's modified equation as defined.
The parameter $n$ is known as the order of the modified Bessel function.