1<?xml version="1.0" encoding="UTF-8"?> 2<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN" "http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd" [<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]> 3<html xmlns="http://www.w3.org/1999/xhtml"> 4<head><title>igamma11</title> 5<!-- MathML created with MathCast Equation Editor version 0.92 --> 6</head> 7<body> 8<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"> 9 <mrow> 10 <mtable columnalign="right center left"> 11 <mtr> 12 <mtd> 13 <mi>Γ</mi> 14 <mfenced> 15 <mrow> 16 <mi>a</mi> 17 <mo>,</mo> 18 <mi>x</mi> 19 </mrow> 20 </mfenced> 21 </mtd> 22 <mtd> 23 <mo>=</mo> 24 </mtd> 25 <mtd> 26 <mfrac> 27 <mrow> 28 <mtext>tgamma1pm1</mtext> 29 <mfenced> 30 <mrow> 31 <mi>a</mi> 32 </mrow> 33 </mfenced> 34 <mo>−</mo> 35 <mtext>powm1</mtext> 36 <mfenced> 37 <mrow> 38 <mi>x</mi> 39 <mo>,</mo> 40 <mi>a</mi> 41 </mrow> 42 </mfenced> 43 </mrow> 44 <mi>a</mi> 45 </mfrac> 46 <mo>+</mo> 47 <msup> 48 <mi>x</mi> 49 <mi>a</mi> 50 </msup> 51 <munderover> 52 <mo>∑</mo> 53 <mrow> 54 <mi>k</mi> 55 <mo>=</mo> 56 <mn>1</mn> 57 </mrow> 58 <mi>∞</mi> 59 </munderover> 60 <mfrac> 61 <mrow> 62 <msup> 63 <mfenced> 64 <mrow> 65 <mo>−</mo> 66 <mn>1</mn> 67 </mrow> 68 </mfenced> 69 <mi>k</mi> 70 </msup> 71 <msup> 72 <mi>x</mi> 73 <mi>k</mi> 74 </msup> 75 </mrow> 76 <mrow> 77 <mfenced> 78 <mrow> 79 <mi>a</mi> 80 <mo>+</mo> 81 <mi>k</mi> 82 </mrow> 83 </mfenced> 84 <mi>k</mi> 85 <mo>!</mo> 86 </mrow> 87 </mfrac> 88 </mtd> 89 </mtr> 90 <mtr> 91 <mtd> 92 <mtext>tgamma1pm1</mtext> 93 <mfenced> 94 <mrow> 95 <mi>a</mi> 96 </mrow> 97 </mfenced> 98 </mtd> 99 <mtd> 100 <mo>=</mo> 101 </mtd> 102 <mtd> 103 <mi>Γ</mi> 104 <mfenced> 105 <mrow> 106 <mi>a</mi> 107 <mo>+</mo> 108 <mn>1</mn> 109 </mrow> 110 </mfenced> 111 <mo>−</mo> 112 <mn>1</mn> 113 </mtd> 114 </mtr> 115 <mtr> 116 <mtd> 117 <mtext>powm1</mtext> 118 <mfenced> 119 <mrow> 120 <mi>x</mi> 121 <mo>,</mo> 122 <mi>a</mi> 123 </mrow> 124 </mfenced> 125 </mtd> 126 <mtd> 127 <mo>=</mo> 128 </mtd> 129 <mtd> 130 <msup> 131 <mi>x</mi> 132 <mi>a</mi> 133 </msup> 134 <mo>−</mo> 135 <mn>1</mn> 136 </mtd> 137 </mtr> 138 </mtable> 139 </mrow> 140</math></body> 141</html>