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>legendre_1b</title> 7<!-- MathML created with MathCast Equation Editor version 0.88 --> 8</head> 9<body> 10<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"> 11 <mrow> 12 <mtext>legendre_p</mtext> 13 <mfenced> 14 <mrow> 15 <mi>l</mi> 16 <mo>,</mo> 17 <mi>m</mi> 18 <mo>,</mo> 19 <mi>x</mi> 20 </mrow> 21 </mfenced> 22 <mspace width="1em"/> 23 <mo>=</mo> 24 <mspace width="1em"/> 25 <msubsup> 26 <mi>P</mi> 27 <mrow> 28 <mi>l</mi> 29 </mrow> 30 <mi>m</mi> 31 </msubsup> 32 <mfenced> 33 <mrow> 34 <mi>x</mi> 35 </mrow> 36 </mfenced> 37 <mspace width="1em"/> 38 <mo>=</mo> 39 <mspace width="1em"/> 40 <msup> 41 <mfenced> 42 <mrow> 43 <mn>1</mn> 44 <mo>−</mo> 45 <msup> 46 <mi>x</mi> 47 <mn>2</mn> 48 </msup> 49 </mrow> 50 </mfenced> 51 <mrow> 52 <mfrac> 53 <mi>m</mi> 54 <mn>2</mn> 55 </mfrac> 56 </mrow> 57 </msup> 58 <mfrac> 59 <mrow> 60 <msup> 61 <mi>d</mi> 62 <mi>m</mi> 63 </msup> 64 <msub> 65 <mi>P</mi> 66 <mi>l</mi> 67 </msub> 68 <mfenced> 69 <mrow> 70 <mi>x</mi> 71 </mrow> 72 </mfenced> 73 </mrow> 74 <mrow> 75 <mi>d</mi> 76 <msup> 77 <mi>x</mi> 78 <mi>m</mi> 79 </msup> 80 </mrow> 81 </mfrac> 82 </mrow> 83</math> 84</body> 85</html> 86