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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>polygamma3</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 <mrow>
14 <msup>
15 <mo>&#x2202;</mo>
16 <mi>n</mi>
17 </msup>
18 <mi>cot</mi>
19 <mfenced>
20 <mrow>
21 <mi>&#x03C0;</mi>
22 <mi>x</mi>
23 </mrow>
24 </mfenced>
25 </mrow>
26 <mrow>
27 <mo>&#x2202;</mo>
28 <msup>
29 <mi>x</mi>
30 <mi>n</mi>
31 </msup>
32 </mrow>
33 </mfrac>
34 <mo>=</mo>
35 <mfrac>
36 <mrow>
37 <msup>
38 <mi>&#x03C0;</mi>
39 <mi>n</mi>
40 </msup>
41 </mrow>
42 <mrow>
43 <msup>
44 <mi>sin</mi>
45 <mrow>
46 <mi>n</mi>
47 <mo>+</mo>
48 <mn>1</mn>
49 </mrow>
50 </msup>
51 <mfenced>
52 <mrow>
53 <mi>&#x03C0;</mi>
54 <mi>x</mi>
55 </mrow>
56 </mfenced>
57 </mrow>
58 </mfrac>
59 <mspace width="1em"/>
60 <munderover>
61 <mo>&#x2211;</mo>
62 <mrow>
63 <mi>k</mi>
64 <mo>=</mo>
65 <mn>0</mn>
66 </mrow>
67 <mrow>
68 <mi>n</mi>
69 <mo>&#x2212;</mo>
70 <mn>1</mn>
71 </mrow>
72 </munderover>
73 <msub>
74 <mi>C</mi>
75 <mrow>
76 <mi>k</mi>
77 <mo>,</mo>
78 <mi>n</mi>
79 </mrow>
80 </msub>
81 <mi>cos</mi>
82 <msup>
83 <mi/>
84 <mi>k</mi>
85 </msup>
86 <mfenced>
87 <mrow>
88 <mi>&#x03C0;</mi>
89 <mi>n</mi>
90 </mrow>
91 </mfenced>
92 </mrow>
93 </math>
94 </body>
95 </html>