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Previous: <a href="Inverse-Complex-Hyperbolic-Functions.html#Inverse-Complex-Hyperbolic-Functions" accesskey="p" rel="previous">Inverse Complex Hyperbolic Functions</a>, Up: <a href="Complex-Numbers.html#Complex-Numbers" accesskey="u" rel="up">Complex Numbers</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<a name="References-and-Further-Reading"></a>
<h3 class="section">5.9 References and Further Reading</h3>

<p>The implementations of the elementary and trigonometric functions are
based on the following papers,
</p>
<ul class="no-bullet">
<li><!-- /@w --> T. E. Hull, Thomas F. Fairgrieve, Ping Tak Peter Tang,
&ldquo;Implementing Complex Elementary Functions Using Exception
Handling&rdquo;, <cite>ACM Transactions on Mathematical Software</cite>, Volume 20
(1994), pp 215&ndash;244, Corrigenda, p553

</li><li><!-- /@w --> T. E. Hull, Thomas F. Fairgrieve, Ping Tak Peter Tang,
&ldquo;Implementing the complex arcsin and arccosine functions using exception
handling&rdquo;, <cite>ACM Transactions on Mathematical Software</cite>, Volume 23
(1997) pp 299&ndash;335
</li></ul>

<p>The general formulas and details of branch cuts can be found in the
following books,
</p>
<ul class="no-bullet">
<li><!-- /@w --> Abramowitz and Stegun, <cite>Handbook of Mathematical Functions</cite>,
&ldquo;Circular Functions in Terms of Real and Imaginary Parts&rdquo;, Formulas
4.3.55&ndash;58,
&ldquo;Inverse Circular Functions in Terms of Real and Imaginary Parts&rdquo;,
Formulas 4.4.37&ndash;39,
&ldquo;Hyperbolic Functions in Terms of Real and Imaginary Parts&rdquo;,
Formulas 4.5.49&ndash;52,
&ldquo;Inverse Hyperbolic Functions&mdash;relation to Inverse Circular Functions&rdquo;,
Formulas 4.6.14&ndash;19.

</li><li><!-- /@w --> Dave Gillespie, <cite>Calc Manual</cite>, Free Software Foundation, ISBN
1-882114-18-3
</li></ul>




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