Bessel's Equation
From ProofWiki
Contents |
Equation
Bessel's equation is a second order ODE of the form:
- $\displaystyle x^2 \frac{\mathrm d^2 y} {\mathrm d x^2} + x \frac{\mathrm d y} {\mathrm d x} + \left({x^2 - p^2}\right) y = 0$
The parameter $p$ may be any arbitrary real or complex number.
Solution
The solutions of Bessel's equation are known as Bessel functions, and they are functions of the parameter $p$.
You can help Proof Wiki by expanding it.
To discuss it in more detail, feel free to use the talk page.
When this page/section has been completed, {{Stub}} should be removed from the code.
If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page (see the proofread template for usage).
Source of Name
This entry was named for Friedrich Wilhelm Bessel.
