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Diffstat (limited to 'libs/math/doc/equations/polygamma5.mml')
| -rw-r--r-- | libs/math/doc/equations/polygamma5.mml | 134 |
1 files changed, 134 insertions, 0 deletions
diff --git a/libs/math/doc/equations/polygamma5.mml b/libs/math/doc/equations/polygamma5.mml new file mode 100644 index 000000000..1104b9560 --- /dev/null +++ b/libs/math/doc/equations/polygamma5.mml @@ -0,0 +1,134 @@ +<?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>polygamma5</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>ψ</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>−</mo> + <mn>1</mn> + </mrow> + </mfenced> + <mrow> + <mi>n</mi> + <mo>−</mo> + <mn>1</mn> + </mrow> + </msup> + <mfenced> + <mrow> + <mi>n</mi> + <mo>−</mo> + <mn>1</mn> + </mrow> + </mfenced> + <mo>!</mo> + <mfenced> + <mrow> + <mi>n</mi> + <mo>+</mo> + <mn>2</mn> + <mi>x</mi> + </mrow> + </mfenced> + </mrow> + <mrow> + <mn>2</mn> + <msup> + <mi>x</mi> + <mrow> + <mi>n</mi> + <mo>+</mo> + <mn>1</mn> + </mrow> + </msup> + </mrow> + </mfrac> + <mo>−</mo> + <msup> + <mfenced> + <mrow> + <mo>−</mo> + <mn>1</mn> + </mrow> + </mfenced> + <mi>n</mi> + </msup> + <munderover> + <mo>∑</mo> + <mrow> + <mi>k</mi> + <mo>=</mo> + <mn>1</mn> + </mrow> + <mi>∞</mi> + </munderover> + <mfrac> + <mrow> + <mfenced> + <mrow> + <mn>2</mn> + <mi>k</mi> + <mo>+</mo> + <mi>n</mi> + <mo>−</mo> + <mn>1</mn> + </mrow> + </mfenced> + <mo>!</mo> + </mrow> + <mrow> + <mfenced> + <mrow> + <mn>2</mn> + <mi>k</mi> + </mrow> + </mfenced> + <mo>!</mo> + <msup> + <mi>x</mi> + <mrow> + <mn>2</mn> + <mi>k</mi> + <mo>+</mo> + <mi>n</mi> + </mrow> + </msup> + </mrow> + </mfrac> + <msub> + <mi>B</mi> + <mrow> + <mn>2</mn> + <mi>k</mi> + </mrow> + </msub> + </mrow> +</math> +</body> +</html>
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