<title>Airy Ai Function</title>
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The function <a class="link" href="ai.html" title="Airy Ai Function">airy_ai</a> calculates
the Airy function Ai which is the first solution to the differential equation:
</p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../../equations/airy.svg"></span>
+
+ </p></blockquote></div>
<p>
- <span class="inlinemediaobject"><img src="../../../equations/airy.svg"></span>
+ See Weisstein, Eric W. "Airy Functions." From MathWorld--A Wolfram
+ Web Resource. <a href="http://mathworld.wolfram.com/AiryFunctions.html" target="_top">http://mathworld.wolfram.com/AiryFunctions.html</a>
</p>
<p>
- See Weisstein, Eric W. "Airy Functions." From MathWorld--A Wolfram
- Web Resource. <a href="http://mathworld.wolfram.com/AiryFunctions.html" target="_top">http://mathworld.wolfram.com/AiryFunctions.html</a>;
+ and <a href="https://en.wikipedia.org/wiki/Airy_zeta_function" target="_top">Airy Zeta
+ function</a>.
</p>
<p>
- The final <a class="link" href="../../policy.html" title="Chapter 19. Policies: Controlling Precision, Error Handling etc">Policy</a> argument is optional and can
+ The final <a class="link" href="../../policy.html" title="Chapter 20. 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 19. Policies: Controlling Precision, Error Handling etc">policy
+ what level of precision to use etc. Refer to the <a class="link" href="../../policy.html" title="Chapter 20. Policies: Controlling Precision, Error Handling etc">policy
documentation for more details</a>.
</p>
<p>
changes: for negative <span class="emphasis"><em>x</em></span> the function is cyclic, while
for positive <span class="emphasis"><em>x</em></span> the value tends to zero:
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../../graphs/airy_ai.svg" align="middle"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../../graphs/airy_ai.svg" align="middle"></span>
+
+ </p></blockquote></div>
<h5>
<a name="math_toolkit.airy.ai.h2"></a>
<span class="phrase"><a name="math_toolkit.airy.ai.accuracy"></a></span><a class="link" href="ai.html#math_toolkit.airy.ai.accuracy">Accuracy</a>
> 0</em></span> while only the absolute error is low for <span class="emphasis"><em>x <
0</em></span> as the following error plot illustrates:
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../../graphs/ai__double.svg" align="middle"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../../graphs/ai__double.svg" align="middle"></span>
+
+ </p></blockquote></div>
<h5>
<a name="math_toolkit.airy.ai.h3"></a>
<span class="phrase"><a name="math_toolkit.airy.ai.testing"></a></span><a class="link" href="ai.html#math_toolkit.airy.ai.testing">Testing</a>
<p>
This function is implemented in terms of the Bessel functions using the relations:
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../../equations/airy_ai.svg"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../../equations/airy_ai.svg"></span>
+
+ </p></blockquote></div>
</div>
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