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>polygamma7</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 <mfrac> 13 <mo>∂</mo> 14 <mrow> 15 <mo>∂</mo> 16 <mi>x</mi> 17 </mrow> 18 </mfrac> 19 <mfrac> 20 <mrow> 21 <mi>cos</mi> 22 <msup> 23 <mi/> 24 <mi>k</mi> 25 </msup> 26 <mfenced> 27 <mrow> 28 <mi>θ</mi> 29 </mrow> 30 </mfenced> 31 </mrow> 32 <mrow> 33 <msup> 34 <mi>sin</mi> 35 <mi>n</mi> 36 </msup> 37 <mfenced> 38 <mrow> 39 <mi>θ</mi> 40 </mrow> 41 </mfenced> 42 </mrow> 43 </mfrac> 44 <mo>=</mo> 45 <mfrac> 46 <mn>1</mn> 47 <mrow> 48 <msup> 49 <mi>sin</mi> 50 <mrow> 51 <mi>n</mi> 52 <mo>+</mo> 53 <mn>1</mn> 54 </mrow> 55 </msup> 56 <mfenced> 57 <mrow> 58 <mi>θ</mi> 59 </mrow> 60 </mfenced> 61 </mrow> 62 </mfrac> 63 <mfenced> 64 <mrow> 65 <mrow> 66 <mfenced> 67 <mrow> 68 <mi>k</mi> 69 <mo>−</mo> 70 <mi>n</mi> 71 </mrow> 72 </mfenced> 73 <msup> 74 <mi>cos</mi> 75 <mrow> 76 <mi>n</mi> 77 <mo>+</mo> 78 <mn>1</mn> 79 </mrow> 80 </msup> 81 <mfenced> 82 <mrow> 83 <mi>θ</mi> 84 </mrow> 85 </mfenced> 86 <mo>−</mo> 87 <mi>k</mi> 88 <msup> 89 <mi>cos</mi> 90 <mrow> 91 <mi>n</mi> 92 <mo>−</mo> 93 <mn>1</mn> 94 </mrow> 95 </msup> 96 <mfenced> 97 <mrow> 98 <mi>θ</mi> 99 </mrow> 100 </mfenced> 101 </mrow> 102 </mrow> 103 </mfenced> 104 </mrow> 105</math> 106</body> 107</html>