1<?xml version='1.0'?> 2<!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN' 3 'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd' 4 [<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]> 5<html xmlns='http://www.w3.org/1999/xhtml'> 6<head><title>polygamma6</title> 7<!-- MathML created with MathCast Equation Editor version 0.89 --> 8</head> 9<body> 10<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"> 11 <mrow> 12 <msup> 13 <mi>ψ</mi> 14 <mrow> 15 <mfenced> 16 <mrow> 17 <mi>n</mi> 18 </mrow> 19 </mfenced> 20 </mrow> 21 </msup> 22 <mfenced> 23 <mrow> 24 <mi>x</mi> 25 <mo>−</mo> 26 <mi>m</mi> 27 </mrow> 28 </mfenced> 29 <mo>=</mo> 30 <msup> 31 <mi>ψ</mi> 32 <mrow> 33 <mfenced> 34 <mrow> 35 <mi>n</mi> 36 </mrow> 37 </mfenced> 38 </mrow> 39 </msup> 40 <mfenced> 41 <mrow> 42 <mi>x</mi> 43 </mrow> 44 </mfenced> 45 <mo>−</mo> 46 <msup> 47 <mfenced> 48 <mrow> 49 <mo>−</mo> 50 <mn>1</mn> 51 </mrow> 52 </mfenced> 53 <mi>n</mi> 54 </msup> 55 <mi>n</mi> 56 <mo>!</mo> 57 <munderover> 58 <mo>∑</mo> 59 <mrow> 60 <mi>k</mi> 61 <mo>=</mo> 62 <mn>1</mn> 63 </mrow> 64 <mi>m</mi> 65 </munderover> 66 <mfrac> 67 <mn>1</mn> 68 <mrow> 69 <msup> 70 <mfenced> 71 <mrow> 72 <mi>x</mi> 73 <mo>−</mo> 74 <mi>k</mi> 75 </mrow> 76 </mfenced> 77 <mrow> 78 <mi>n</mi> 79 <mo>+</mo> 80 <mn>1</mn> 81 </mrow> 82 </msup> 83 </mrow> 84 </mfrac> 85 </mrow> 86</math> 87</body> 88</html>