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  <div class="section" id="references">
<h1>References<a class="headerlink" href="#references" title="Permalink to this headline">ΒΆ</a></h1>
<p>The following is a non-comprehensive list of works used in the development of mpmath
or cited for examples or mathematical definitions used in this documentation.
References not listed here can be found in the source code.</p>
<table class="docutils citation" frame="void" id="abramowitzstegun" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label">[AbramowitzStegun]</td><td>M Abramowitz &amp; I Stegun. <em>Handbook of Mathematical Functions, 9th Ed.</em>, Tenth Printing, December 1972, with corrections (electronic copy: <a class="reference external" href="http://www.math.ucla.edu/~cbm/aands/">http://www.math.ucla.edu/~cbm/aands/</a>)</td></tr>
</tbody>
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<table class="docutils citation" frame="void" id="bailey" rules="none">
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<tr><td class="label">[Bailey]</td><td>D H Bailey. &#8220;Tanh-Sinh High-Precision Quadrature&#8221;, <a class="reference external" href="http://crd.lbl.gov/~dhbailey/dhbpapers/dhb-tanh-sinh.pdf">http://crd.lbl.gov/~dhbailey/dhbpapers/dhb-tanh-sinh.pdf</a></td></tr>
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<table class="docutils citation" frame="void" id="benderorszag" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label">[BenderOrszag]</td><td>C M Bender &amp; S A Orszag. <em>Advanced Mathematical Methods for
Scientists and Engineers</em>, Springer 1999</td></tr>
</tbody>
</table>
<table class="docutils citation" frame="void" id="borweinbailey" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label">[BorweinBailey]</td><td>J Borwein, D H Bailey &amp; R Girgensohn. <em>Experimentation in Mathematics - Computational Paths to Discovery</em>, A K Peters, 2003</td></tr>
</tbody>
</table>
<table class="docutils citation" frame="void" id="borweinborwein" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label">[BorweinBorwein]</td><td>J Borwein &amp; P B Borwein. <em>Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity</em>, Wiley 1987</td></tr>
</tbody>
</table>
<table class="docutils citation" frame="void" id="borweinzeta" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label">[BorweinZeta]</td><td>P Borwein. &#8220;An Efficient Algorithm for the Riemann Zeta Function&#8221;, <a class="reference external" href="http://www.cecm.sfu.ca/personal/pborwein/PAPERS/P117.ps">http://www.cecm.sfu.ca/personal/pborwein/PAPERS/P117.ps</a></td></tr>
</tbody>
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<table class="docutils citation" frame="void" id="cabralrosetti" rules="none">
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<tr><td class="label">[CabralRosetti]</td><td>L G Cabral-Rosetti &amp; M A Sanchis-Lozano. &#8220;Appell Functions and the Scalar One-Loop Three-point Integrals in Feynman Diagrams&#8221;. <a class="reference external" href="http://arxiv.org/abs/hep-ph/0206081">http://arxiv.org/abs/hep-ph/0206081</a></td></tr>
</tbody>
</table>
<table class="docutils citation" frame="void" id="carlson" rules="none">
<colgroup><col class="label" /><col /></colgroup>
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<tr><td class="label">[Carlson]</td><td>B C Carlson. &#8220;Numerical computation of real or complex elliptic integrals&#8221;. <a class="reference external" href="http://arxiv.org/abs/math/9409227v1">http://arxiv.org/abs/math/9409227v1</a></td></tr>
</tbody>
</table>
<table class="docutils citation" frame="void" id="corless" rules="none">
<colgroup><col class="label" /><col /></colgroup>
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<tr><td class="label">[Corless]</td><td>R M Corless et al. &#8220;On the Lambert W function&#8221;, Adv. Comp. Math. 5 (1996) 329-359. <a class="reference external" href="http://www.apmaths.uwo.ca/~djeffrey/Offprints/W-adv-cm.pdf">http://www.apmaths.uwo.ca/~djeffrey/Offprints/W-adv-cm.pdf</a></td></tr>
</tbody>
</table>
<table class="docutils citation" frame="void" id="dlmf" rules="none">
<colgroup><col class="label" /><col /></colgroup>
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<tr><td class="label">[DLMF]</td><td>NIST Digital Library of Mathematical Functions. <a class="reference external" href="http://dlmf.nist.gov/">http://dlmf.nist.gov/</a></td></tr>
</tbody>
</table>
<table class="docutils citation" frame="void" id="gradshteynryzhik" rules="none">
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<tr><td class="label">[GradshteynRyzhik]</td><td>I S Gradshteyn &amp; I M Ryzhik, A Jeffrey &amp; D Zwillinger (eds.), <em>Table of Integrals, Series and Products</em>, Seventh edition (2007), Elsevier</td></tr>
</tbody>
</table>
<table class="docutils citation" frame="void" id="gravesmorris" rules="none">
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<tr><td class="label">[GravesMorris]</td><td>P R Graves-Morris, D E Roberts &amp; A Salam. &#8220;The epsilon algorithm and related topics&#8221;, <em>Journal of Computational and Applied Mathematics</em>, Volume 122, Issue 1-2  (October 2000)</td></tr>
</tbody>
</table>
<table class="docutils citation" frame="void" id="mpfr" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label">[MPFR]</td><td>The MPFR team. &#8220;The MPFR Library: Algorithms and Proofs&#8221;, <a class="reference external" href="http://www.mpfr.org/algorithms.pdf">http://www.mpfr.org/algorithms.pdf</a></td></tr>
</tbody>
</table>
<table class="docutils citation" frame="void" id="slater" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label">[Slater]</td><td>L J Slater. <em>Generalized Hypergeometric Functions</em>. Cambridge University Press, 1966</td></tr>
</tbody>
</table>
<table class="docutils citation" frame="void" id="spouge" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label">[Spouge]</td><td>J L Spouge. &#8220;Computation of the gamma, digamma, and trigamma functions&#8221;, SIAM J. Numer. Anal. Vol. 31, No. 3, pp. 931-944, June 1994.</td></tr>
</tbody>
</table>
<table class="docutils citation" frame="void" id="srivastavakarlsson" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label">[SrivastavaKarlsson]</td><td>H M Srivastava &amp; P W Karlsson. <em>Multiple Gaussian Hypergeometric Series</em>. Ellis Horwood, 1985.</td></tr>
</tbody>
</table>
<table class="docutils citation" frame="void" id="vidunas" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label">[Vidunas]</td><td>R Vidunas. &#8220;Identities between Appell&#8217;s and hypergeometric functions&#8221;. <a class="reference external" href="http://arxiv.org/abs/0804.0655">http://arxiv.org/abs/0804.0655</a></td></tr>
</tbody>
</table>
<table class="docutils citation" frame="void" id="weisstein" rules="none">
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<tr><td class="label">[Weisstein]</td><td>E W Weisstein. <em>MathWorld</em>. <a class="reference external" href="http://mathworld.wolfram.com/">http://mathworld.wolfram.com/</a></td></tr>
</tbody>
</table>
<table class="docutils citation" frame="void" id="whittakerwatson" rules="none">
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<tr><td class="label">[WhittakerWatson]</td><td>E T Whittaker &amp; G N Watson. <em>A Course of Modern Analysis</em>. 4th Ed. 1946
Cambridge University Press</td></tr>
</tbody>
</table>
<table class="docutils citation" frame="void" id="wikipedia" rules="none">
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<tr><td class="label">[Wikipedia]</td><td><em>Wikipedia, the free encyclopedia</em>. <a class="reference external" href="http://en.wikipedia.org">http://en.wikipedia.org</a></td></tr>
</tbody>
</table>
<table class="docutils citation" frame="void" id="wolframfunctions" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label">[WolframFunctions]</td><td>Wolfram Research, Inc. <em>The Wolfram Functions Site</em>. <a class="reference external" href="http://functions.wolfram.com/">http://functions.wolfram.com/</a></td></tr>
</tbody>
</table>
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