<?xml version="1.0" encoding="UTF-8"?>
<!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'>]>
<html xmlns="http://www.w3.org/1999/xhtml">
<head><title>legendre_2</title>
<!-- MathML created with MathCast Equation Editor version 0.92 -->
</head>
<body>
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  <mrow>
    <mtable columnalign="right center center center left">
      <mtr>
        <mtd>
          <mtext>legendre_q</mtext>
          <mfenced>
            <mrow>
              <mn>0,</mn>
              <mi>x</mi>
            </mrow>
          </mfenced>
        </mtd>
        <mtd>
          <mo>=</mo>
        </mtd>
        <mtd>
          <msub>
            <mi>Q</mi>
            <mn>0</mn>
          </msub>
          <mfenced>
            <mrow>
              <mi>x</mi>
            </mrow>
          </mfenced>
        </mtd>
        <mtd>
          <mo>=</mo>
        </mtd>
        <mtd>
          <mfrac>
            <mn>1</mn>
            <mn>2</mn>
          </mfrac>
          <mi>ln</mi>
          <mfenced>
            <mrow>
              <mfrac>
                <mrow>
                  <mn>1</mn>
                  <mo>+</mo>
                  <mi>x</mi>
                </mrow>
                <mrow>
                  <mn>1</mn>
                  <mo>&#x2212;</mo>
                  <mi>x</mi>
                </mrow>
              </mfrac>
            </mrow>
          </mfenced>
        </mtd>
      </mtr>
      <mtr>
        <mtd>
          <mtext>legendre_q</mtext>
          <mfenced>
            <mrow>
              <mn>1,</mn>
              <mi>x</mi>
            </mrow>
          </mfenced>
        </mtd>
        <mtd>
          <mo>=</mo>
        </mtd>
        <mtd>
          <msub>
            <mi>Q</mi>
            <mn>1</mn>
          </msub>
          <mfenced>
            <mrow>
              <mi>x</mi>
            </mrow>
          </mfenced>
        </mtd>
        <mtd>
          <mo>=</mo>
        </mtd>
        <mtd>
          <mfrac>
            <mi>x</mi>
            <mn>2</mn>
          </mfrac>
          <mi>ln</mi>
          <mfenced>
            <mrow>
              <mfrac>
                <mrow>
                  <mn>1</mn>
                  <mo>+</mo>
                  <mi>x</mi>
                </mrow>
                <mrow>
                  <mn>1</mn>
                  <mo>&#x2212;</mo>
                  <mi>x</mi>
                </mrow>
              </mfrac>
            </mrow>
          </mfenced>
          <mo>&#x2212;</mo>
          <mn>1</mn>
        </mtd>
      </mtr>
    </mtable>
  </mrow>
</math></body>
</html>