polygamma5.mml 2.6 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>polygamma5</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>
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  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>
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  27. <mo>&#x221D;</mo>
  28. <mfrac>
  29. <mrow>
  30. <msup>
  31. <mfenced>
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  33. <mo>&#x2212;</mo>
  34. <mn>1</mn>
  35. </mrow>
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  37. <mrow>
  38. <mi>n</mi>
  39. <mo>&#x2212;</mo>
  40. <mn>1</mn>
  41. </mrow>
  42. </msup>
  43. <mfenced>
  44. <mrow>
  45. <mi>n</mi>
  46. <mo>&#x2212;</mo>
  47. <mn>1</mn>
  48. </mrow>
  49. </mfenced>
  50. <mo>!</mo>
  51. <mfenced>
  52. <mrow>
  53. <mi>n</mi>
  54. <mo>+</mo>
  55. <mn>2</mn>
  56. <mi>x</mi>
  57. </mrow>
  58. </mfenced>
  59. </mrow>
  60. <mrow>
  61. <mn>2</mn>
  62. <msup>
  63. <mi>x</mi>
  64. <mrow>
  65. <mi>n</mi>
  66. <mo>+</mo>
  67. <mn>1</mn>
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  69. </msup>
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  72. <mo>&#x2212;</mo>
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  76. <mo>&#x2212;</mo>
  77. <mn>1</mn>
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  80. <mi>n</mi>
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  82. <munderover>
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  84. <mrow>
  85. <mi>k</mi>
  86. <mo>=</mo>
  87. <mn>1</mn>
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  91. <mfrac>
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  95. <mn>2</mn>
  96. <mi>k</mi>
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  99. <mo>&#x2212;</mo>
  100. <mn>1</mn>
  101. </mrow>
  102. </mfenced>
  103. <mo>!</mo>
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  105. <mrow>
  106. <mfenced>
  107. <mrow>
  108. <mn>2</mn>
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  110. </mrow>
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  112. <mo>!</mo>
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  114. <mi>x</mi>
  115. <mrow>
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  121. </msup>
  122. </mrow>
  123. </mfrac>
  124. <msub>
  125. <mi>B</mi>
  126. <mrow>
  127. <mn>2</mn>
  128. <mi>k</mi>
  129. </mrow>
  130. </msub>
  131. </mrow>
  132. </math>
  133. </body>
  134. </html>