# Kelvin function

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## English[edit]

### Etymology[edit]

Named after William Thomson, 1st Baron Kelvin.

### Noun[edit]

**Kelvin function** (*plural* **Kelvin functions**)

- (mathematics) Any of class of special functions, usually denoted as two pairs of functions ber
_{n}(x), bei_{n}(x), ker_{n}(x) and kei_{n}(x) with variable x and given order number n. The former two functions ber_{n}(x) and bei_{n}(x) respectively correspond to the real part and the imaginary part of the Kelvin differential equation's solution that can be expressed with the Bessel function of the first kind J_{n}(x), and the latter ker_{n}(x) and kei_{n}(x) correspond to those that can be expressed with the modified Bessel function of the second kind K_{n}(x).

#### Related terms[edit]

### References[edit]

- Mathematical Curves,
*Bessel function* - Weisstein, Eric W. "Kelvin Functions." From MathWorld--A Wolfram Web Resource.