polygamma1.mml 1.8 KB

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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>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>
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  19. </msup>
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  21. <mrow>
  22. <mi>x</mi>
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  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>