polygamma3.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>polygamma3</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>
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  14. <msup>
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  16. <mi>n</mi>
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  18. <mi>cot</mi>
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  21. <mi>&#x03C0;</mi>
  22. <mi>x</mi>
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  26. <mrow>
  27. <mo>&#x2202;</mo>
  28. <msup>
  29. <mi>x</mi>
  30. <mi>n</mi>
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  32. </mrow>
  33. </mfrac>
  34. <mo>=</mo>
  35. <mfrac>
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  37. <msup>
  38. <mi>&#x03C0;</mi>
  39. <mi>n</mi>
  40. </msup>
  41. </mrow>
  42. <mrow>
  43. <msup>
  44. <mi>sin</mi>
  45. <mrow>
  46. <mi>n</mi>
  47. <mo>+</mo>
  48. <mn>1</mn>
  49. </mrow>
  50. </msup>
  51. <mfenced>
  52. <mrow>
  53. <mi>&#x03C0;</mi>
  54. <mi>x</mi>
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  58. </mfrac>
  59. <mspace width="1em"/>
  60. <munderover>
  61. <mo>&#x2211;</mo>
  62. <mrow>
  63. <mi>k</mi>
  64. <mo>=</mo>
  65. <mn>0</mn>
  66. </mrow>
  67. <mrow>
  68. <mi>n</mi>
  69. <mo>&#x2212;</mo>
  70. <mn>1</mn>
  71. </mrow>
  72. </munderover>
  73. <msub>
  74. <mi>C</mi>
  75. <mrow>
  76. <mi>k</mi>
  77. <mo>,</mo>
  78. <mi>n</mi>
  79. </mrow>
  80. </msub>
  81. <mi>cos</mi>
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  83. <mi/>
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  88. <mi>&#x03C0;</mi>
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  90. </mrow>
  91. </mfenced>
  92. </mrow>
  93. </math>
  94. </body>
  95. </html>