WSJT-X/boost/libs/math/doc/equations/polygamma4.mml

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<?xml version='1.0'?>
<!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN'
'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd'
[<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]>
<html xmlns='http://www.w3.org/1999/xhtml'>
<head><title>polygamma4</title>
<!-- MathML created with MathCast Equation Editor version 0.89 -->
</head>
<body>
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow>
<msup>
<mi>&#x03C8;</mi>
<mrow>
<mfenced>
<mrow>
<mi>n</mi>
</mrow>
</mfenced>
</mrow>
</msup>
<mfenced>
<mrow>
<mi>x</mi>
</mrow>
</mfenced>
<mo>=</mo>
<mfrac>
<mrow>
<msup>
<mfenced>
<mrow>
<mo>&#x2212;</mo>
<mn>1</mn>
</mrow>
</mfenced>
<mrow>
<mi>n</mi>
<mo>&#x2212;</mo>
<mn>1</mn>
</mrow>
</msup>
<mi>n</mi>
<mo>!</mo>
</mrow>
<msup>
<mi>x</mi>
<mrow>
<mi>n</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
</msup>
</mfrac>
<mo>+</mo>
<munderover>
<mo>&#x2211;</mo>
<mrow>
<mi>k</mi>
<mo>=</mo>
<mn>0</mn>
</mrow>
<mi>&#x221E;</mi>
</munderover>
<mfrac>
<mrow>
<msup>
<mfenced>
<mrow>
<mo>&#x2212;</mo>
<mn>1</mn>
</mrow>
</mfenced>
<mrow>
<mi>k</mi>
<mo>+</mo>
<mi>n</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
</msup>
<mfenced>
<mrow>
<mi>k</mi>
<mo>+</mo>
<mi>n</mi>
</mrow>
</mfenced>
<mo>!</mo>
<mi>&#x03B6;</mi>
<mfenced>
<mrow>
<mi>k</mi>
<mo>+</mo>
<mi>n</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
</mfenced>
<msup>
<mi>x</mi>
<mi>k</mi>
</msup>
</mrow>
<mrow>
<mi>k</mi>
<mo>!</mo>
</mrow>
</mfrac>
</mrow>
</math>
</body>
</html>