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asa121.html
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<html>
<head>
<title>
ASA121 - The Trigamma Function
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
ASA121 <br> The Trigamma Function
</h1>
<hr>
<p>
<b>ASA121</b>
is a FORTRAN90 library which
evaluates the trigamma function,
by BE Schneider.
</p>
<p>
<b>ASA121</b> is Applied Statistics Algorithm 121. Source code for many
Applied Statistics Algorithms is available through
<a href = "http://lib.stat.cmu.edu/apstat">STATLIB</a>.
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>ASA121</b> is available in
<a href = "../../c_src/asa121/asa121.html">a C version</a> and
<a href = "../../cpp_src/asa121/asa121.html">a C++ version</a> and
<a href = "../../f77_src/asa121/asa121.html">a FORTRAN77 version</a> and
<a href = "../../f_src/asa121/asa121.html">a FORTRAN90 version</a> and
<a href = "../../m_src/asa121/asa121.html">a MATLAB version.</a>
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/asa103/asa103.html">
ASA103</a>,
a FORTRAN90 library which
evaluates the digamma function.
</p>
<p>
<a href = "../../f_src/test_values/test_values.html">
TEST_VALUES</a>,
a FORTRAN90 library which
contains sample values for a number of special functions.
</p>
<h3 align = "center">
Author:
</h3>
<p>
Original FORTRAN77 version by BE Schneider;
FORTRAN90 version by John Burkardt.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
BE Schneider,<br>
Algorithm AS 121:
Trigamma Function,<br>
Applied Statistics,<br>
Volume 27, Number 1, 1978, pages 97-99.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "asa121.f90">asa121.f90</a>, the source code.
</li>
<li>
<a href = "asa121.sh">asa121.sh</a>,
commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "asa121_prb.f90">asa121_prb.f90</a>,
a sample calling program.
</li>
<li>
<a href = "asa121_prb.sh">asa121_prb.sh</a>,
commands to compile and run the sample program.
</li>
<li>
<a href = "asa121_prb_output.txt">asa121_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>TIMESTAMP</b> prints out the current YMDHMS date as a timestamp.
</li>
<li>
<b>TRIGAM</b> calculates trigamma(x) = d**2 log(gamma(x)) / dx**2
</li>
<li>
<b>TRIGAMMA_VALUES</b> returns some values of the TriGamma function.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../f_src.html">
the FORTRAN90 source codes</a>.
</p>
<hr>
<i>
Last revised on 19 January 2008.
</i>
<!-- John Burkardt -->
</body>
<!-- Initial HTML skeleton created by HTMLINDEX. -->
</html>