ceph/src/boost/libs/math/doc/equations/polygamma7.mml

   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>&#x2202;</mo>
  14       <mrow>
  15         <mo>&#x2202;</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>&#x03B8;</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>&#x03B8;</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>&#x03B8;</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>&#x2212;</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>&#x03B8;</mi>
  84             </mrow>
  85           </mfenced>
  86           <mo>&#x2212;</mo>
  87           <mi>k</mi>
  88           <msup>
  89             <mi>cos</mi>
  90             <mrow>
  91               <mi>n</mi>
  92               <mo>&#x2212;</mo>
  93               <mn>1</mn>
  94             </mrow>
  95           </msup>
  96           <mfenced>
  97             <mrow>
  98               <mi>&#x03B8;</mi>
  99             </mrow>
 100           </mfenced>
 101         </mrow>
 102       </mrow>
 103     </mfenced>
 104   </mrow>
 105 </math>
 106 </body>
 107 </html>