axiom-hypertex-data 20120501-8 / usr / share / doc / axiom-doc / hypertex / dlmf.xhtml

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  <title>Axiom Documentation</title>
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  <div align="center"><img align="middle" src="doctitle.png"/></div>
  <hr/>
  <div align="center">
   <a href="http://dlmf.nist.gov">
    Digital Library of Mathematical Functions
   </a><br/>
   The Gamma Function by R. A. Askey and R. Roy
  </div>
  <hr/>
<p>
The Gamma function is an extension of the factorial function to 
real and complex numbers. For positive integers, 
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</p>

<p>
These pages explore Axiom's facilities for handling the Gamma function.
In particular we try to show that Axiom conforms to published standards.
</p>
<ul>
 <li><b>Notation</b></li>
 <ul>
  <li><a href="dlmfnotation.xhtml">Notation</a></li>
 </ul>
 <li><b>Properties</b></li>
 <ul>
  <li><a href="dlmfdefinitions.xhtml">Definitions</a></li>
  <li><a href="dlmfgraphics.xhtml">Graphics</a></li>
  <li><a href="dlmfspecialvaluesandextrema.xhtml">
       Special Values and Extrema</a></li>
  <li><a href="dlmffunctionrelations.xhtml">Function Relations</a></li>
  <li><a href="dlmfinequalities.xhtml">Inequalities</a></li>
  <li><a href="dlmfseriesexpansions.xhtml">Series Expansions</a></li>
  <li><a href="dlmfinfiniteproducts.xhtml">Infinite Products</a></li>
  <li><a href="dlmfintegralrepresentations.xhtml">
       Integral Representations</a></li>
  <li><a href="dlmfcontinuedfractions.xhtml">Continued Fractions</a></li>
  <li><a href="dlmfasymptoticexpansions.xhtml">Asymptotic Expansions</a></li>
  <li><a href="dlmfbetafunction.xhtml">Beta Function</a></li>
  <li><a href="dlmfintegrals.xhtml">Integrals</a></li>
  <li><a href="dlmfmultidimensionalintegral.xhtml">
       Multidimensional Integral</a></li>
  <li><a href="dlmfpolygammafunctions.xhtml">Polygamma Functions</a></li>
  <li><a href="dlmfsums.xhtml">Sums</a></li>
  <li><a href="dlmfbarnesgfunction.xhtml">
       Barnes <i>G</i>-Function (Double Gamma Function)</a></li>
  <li><a href="dlmfqgammaandbetafunctions.xhtml">
       <i>q</i>-Gamma and Beta Functions</a></li>
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 <li><b>Applications</b></li>
 <ul>
  <li><a href="dlmfmathematicalapplications.xhtml">
      Mathematical Applications</a></li>
  <li><a href="dlmfphysicalapplications.xhtml">
      Physical Applications</a></li>
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 <li><b>Computation</b></li>
 <ul>
  <li><a href="dlmfmethodsofcomputation.xhtml">
      Methods of Computation</a></li>
  <li><a href="dlmftables.xhtml">Tables</a></li>
  <li><a href="dlmfapproximations.xhtml">Approximations</a></li>
  <li>Axiom Software</li>
 </ul>
</ul>
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