polygamma4.mml 2.2 KB

123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113
  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>