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Version:
4.4.5.dfsg-3ubuntu2 ▾
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<HEAD>
<TITLE>Kelvin functions</TITLE>
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<P>
<font size="+3" color="green"><B>Kelvin functions</B></font></P>
<P>
<TABLE border="1" cols="2" frame="box" rules="all" width="572">
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<TD width="15%" valign="top"><B>Syntax</B>:</TD>
<TD width="85%"><CODE>
y = BER(x)<br />
y = BEI(x)<br />
y = KER(x)<br />
y = KEI(x)</code>
</TD></TR>
</table></p>
<p>
Kelvin functions occur in electrical engineering.</p>
<p><font size="+1" color="green"><b>Kelvin functions of the first kind</b></font></p>
<p>
The Kelvin functions of the first kind, order 0:</p>
<p><img align="bottom" src="kelvinI01.png"></p>
<p>
<img align="top" src="kelvinI02.png"> and where
<img align="bottom" src="kelvinI03.png">
is Bessel's function of the first kind, order 0.</p>
<p><font size="+1" color="green"><b>Kelvin functions of the second kind</b></font></p>
<p>
Kelvin functions of the second kind, order 0, for non-negative
<img align="bottom" src="kelvinI04.png">.</p>
<p><img align="bottom" src="kelvinI05.png"></p>
<p>
<img align="top" src="kelvinI06.png">
and where <img align="bottom" src="kelvinI07.png"> is the
modified Bessel function of the second kind, order 0.</p>
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