ceph/src/boost/libs/math/doc/equations/polygamma1.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>polygamma1</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>&#x03C8;</mi>
  14       <mfenced>
  15         <mrow>
  16           <mi>n</mi>
  17         </mrow>
  18       </mfenced>
  19     </msup>
  20     <mfenced>
  21       <mrow>
  22         <mi>x</mi>
  23       </mrow>
  24     </mfenced>
  25     <mo>=</mo>
  26     <msup>
  27       <mfenced>
  28         <mrow>
  29           <mo>&#x2212;</mo>
  30           <mn>1</mn>
  31         </mrow>
  32       </mfenced>
  33       <mrow>
  34         <mi>n</mi>
  35         <mo>+</mo>
  36         <mn>1</mn>
  37       </mrow>
  38     </msup>
  39     <mi>n</mi>
  40     <mo>!</mo>
  41     <munderover>
  42       <mo>&#x2211;</mo>
  43       <mrow>
  44         <mi>k</mi>
  45         <mo>=</mo>
  46         <mn>0</mn>
  47       </mrow>
  48       <mi>&#x221E;</mi>
  49     </munderover>
  50     <mfrac>
  51       <mn>1</mn>
  52       <mrow>
  53         <msup>
  54           <mfenced>
  55             <mrow>
  56               <mi>k</mi>
  57               <mo>+</mo>
  58               <mi>x</mi>
  59             </mrow>
  60           </mfenced>
  61           <mrow>
  62             <mi>n</mi>
  63             <mo>+</mo>
  64             <mn>1</mn>
  65           </mrow>
  66         </msup>
  67       </mrow>
  68     </mfrac>
  69     <mo>=</mo>
  70     <mfrac>
  71       <mrow>
  72         <msup>
  73           <mo>&#x2202;</mo>
  74           <mi>n</mi>
  75         </msup>
  76         <mi>&#x03C8;</mi>
  77         <mfenced>
  78           <mrow>
  79             <mi>x</mi>
  80           </mrow>
  81         </mfenced>
  82       </mrow>
  83       <mrow>
  84         <msup>
  85           <mo>&#x2202;</mo>
  86           <mi>n</mi>
  87         </msup>
  88         <mi>x</mi>
  89       </mrow>
  90     </mfrac>
  91   </mrow>
  92 </math>
  93 </body>
  94 </html>