ceph/src/boost/libs/math/doc/equations/polygamma4.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>polygamma4</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       <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       </mrow>
  26     </mfenced>
  27     <mo>=</mo>
  28     <mfrac>
  29       <mrow>
  30         <msup>
  31           <mfenced>
  32             <mrow>
  33               <mo>&#x2212;</mo>
  34               <mn>1</mn>
  35             </mrow>
  36           </mfenced>
  37           <mrow>
  38             <mi>n</mi>
  39             <mo>&#x2212;</mo>
  40             <mn>1</mn>
  41           </mrow>
  42         </msup>
  43         <mi>n</mi>
  44         <mo>!</mo>
  45       </mrow>
  46       <msup>
  47         <mi>x</mi>
  48         <mrow>
  49           <mi>n</mi>
  50           <mo>+</mo>
  51           <mn>1</mn>
  52         </mrow>
  53       </msup>
  54     </mfrac>
  55     <mo>+</mo>
  56     <munderover>
  57       <mo>&#x2211;</mo>
  58       <mrow>
  59         <mi>k</mi>
  60         <mo>=</mo>
  61         <mn>0</mn>
  62       </mrow>
  63       <mi>&#x221E;</mi>
  64     </munderover>
  65     <mfrac>
  66       <mrow>
  67         <msup>
  68           <mfenced>
  69             <mrow>
  70               <mo>&#x2212;</mo>
  71               <mn>1</mn>
  72             </mrow>
  73           </mfenced>
  74           <mrow>
  75             <mi>k</mi>
  76             <mo>+</mo>
  77             <mi>n</mi>
  78             <mo>+</mo>
  79             <mn>1</mn>
  80           </mrow>
  81         </msup>
  82         <mfenced>
  83           <mrow>
  84             <mi>k</mi>
  85             <mo>+</mo>
  86             <mi>n</mi>
  87           </mrow>
  88         </mfenced>
  89         <mo>!</mo>
  90         <mi>&#x03B6;</mi>
  91         <mfenced>
  92           <mrow>
  93             <mi>k</mi>
  94             <mo>+</mo>
  95             <mi>n</mi>
  96             <mo>+</mo>
  97             <mn>1</mn>
  98           </mrow>
  99         </mfenced>
 100         <msup>
 101           <mi>x</mi>
 102           <mi>k</mi>
 103         </msup>
 104       </mrow>
 105       <mrow>
 106         <mi>k</mi>
 107         <mo>!</mo>
 108       </mrow>
 109     </mfrac>
 110   </mrow>
 111 </math>
 112 </body>
 113 </html>