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+<div class="titlepage"><div><div><h3 class="title">
+<a name="math_toolkit.hypergeometric.hypergeometric_1f0"></a><a class="link" href="hypergeometric_1f0.html" title="Hypergeometric 1F0">Hypergeometric
+      <sub>1</sub><span class="emphasis"><em>F</em></span><sub>0</sub> </a>
+</h3></div></div></div>
+<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">special_functions</span><span class="special">/</span><span class="identifier">hypergeometric_1F0</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
+
+<span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span> <span class="special">{</span>
+
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">&gt;</span>
+<a class="link" href="../result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">hypergeometric_1F0</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">);</span>
+
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Chapter 21. Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&gt;</span>
+<a class="link" href="../result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">hypergeometric_1F0</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">z</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Chapter 21. Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&amp;);</span>
+
+<span class="special">}}</span> <span class="comment">// namespaces</span>
+</pre>
+<h5>
+<a name="math_toolkit.hypergeometric.hypergeometric_1f0.h0"></a>
+        <span class="phrase"><a name="math_toolkit.hypergeometric.hypergeometric_1f0.description"></a></span><a class="link" href="hypergeometric_1f0.html#math_toolkit.hypergeometric.hypergeometric_1f0.description">Description</a>
+      </h5>
+<p>
+        The function <code class="computeroutput"><span class="identifier">hypergeometric_1F0</span></code>
+        returns the result of:
+      </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+          <span class="inlinemediaobject"><img src="../../../equations/hyper_1f0.svg"></span>
+
+        </p></blockquote></div>
+<p>
+        The return type of these functions is computed using the <a class="link" href="../result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
+        type calculation rules</em></span></a> when <code class="computeroutput"><span class="identifier">T1</span></code>
+        and <code class="computeroutput"><span class="identifier">T2</span></code> are different types.
+      </p>
+<p>
+        The final <a class="link" href="../../policy.html" title="Chapter 21. Policies: Controlling Precision, Error Handling etc">Policy</a> argument is optional and can
+        be used to control the behaviour of the function: how it handles errors,
+        what level of precision to use etc. Refer to the <a class="link" href="../../policy.html" title="Chapter 21. Policies: Controlling Precision, Error Handling etc">policy
+        documentation for more details</a>.
+      </p>
+<p>
+        The functions return the result of <a class="link" href="../error_handling.html#math_toolkit.error_handling.domain_error">domain_error</a>
+        whenever the result is undefined or complex. This occurs for <code class="computeroutput"><span class="identifier">z</span> <span class="special">==</span> <span class="number">1</span></code>
+        or <code class="computeroutput"><span class="number">1</span> <span class="special">-</span>
+        <span class="identifier">z</span> <span class="special">&lt;</span>
+        <span class="number">0</span></code> and <code class="computeroutput"><span class="identifier">a</span></code>
+        not an integer.
+      </p>
+<h5>
+<a name="math_toolkit.hypergeometric.hypergeometric_1f0.h1"></a>
+        <span class="phrase"><a name="math_toolkit.hypergeometric.hypergeometric_1f0.implementation"></a></span><a class="link" href="hypergeometric_1f0.html#math_toolkit.hypergeometric.hypergeometric_1f0.implementation">Implementation</a>
+      </h5>
+<p>
+        The implementation is trivial:
+      </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+          <span class="serif_italic"><span class="emphasis"><em><sub>1</sub>F<sub>0</sub>(a, z) = (1-z)<sup>-a</sup></em></span></span>
+        </p></blockquote></div>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
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+<td align="right"><div class="copyright-footer">Copyright © 2006-2021 Nikhar Agrawal, Anton Bikineev, Matthew Borland,
+      Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert Holin, Bruno
+      Lalande, John Maddock, Evan Miller, Jeremy Murphy, Matthew Pulver, Johan Råde,
+      Gautam Sewani, Benjamin Sobotta, Nicholas Thompson, Thijs van den Berg, Daryle
+      Walker and Xiaogang Zhang<p>
+        Distributed under the Boost Software License, Version 1.0. (See accompanying
+        file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
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