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28 Sinus Cardinal Functions Overview
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31 The
<a href=
"http://mathworld.wolfram.com/SincFunction.html" target=
"_top">Sinus Cardinal
32 family of functions
</a> (indexed by the family of indices
<code class=
"literal">a
33 > 0</code>) is defined by
36 <span class=
"inlinemediaobject"><img src=
"../../../equations/special_functions_blurb20.svg"></span>
39 it sees heavy use in signal processing tasks.
42 By analogy, the
<a href=
"http://mathworld.wolfram.com/SinhcFunction.htm" target=
"_top">Hyperbolic
43 Sinus Cardinal
</a> family of functions (also indexed by the family of
44 indices
<code class=
"literal">a
> 0</code>) is defined by
47 <span class=
"inlinemediaobject"><img src=
"../../../equations/special_functions_blurb22.svg"></span>
50 These two families of functions are composed of entire functions.
53 These functions (
<a class=
"link" href=
"sinc_pi.html" title=
"sinc_pi">sinc_pi
</a>
54 and
<a class=
"link" href=
"sinhc_pi.html" title=
"sinhc_pi">sinhc_pi
</a>) are needed
55 by
<a href=
"http://www.boost.org/libs/math/quaternion/quaternion.html" target=
"_top">our
56 implementation
</a> of
<a href=
"http://mathworld.wolfram.com/Quaternion.html" target=
"_top">quaternions
</a>
57 and
<a href=
"http://mathworld.wolfram.com/Octonion.html" target=
"_top">octonions
</a>.
59 <div class=
"blockquote"><blockquote class=
"blockquote"><p>
60 <span class=
"emphasis"><em><span class=
"bold"><strong>Sinus Cardinal of index pi (purple) and
61 Hyperbolic Sinus Cardinal of index pi (red) on R
</strong></span></em></span>
62 </p></blockquote></div>
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© 2006-
2010,
2012-
2014 Nikhar Agrawal,
70 Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert
71 Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Johan R
åde, Gautam Sewani,
72 Benjamin Sobotta, Thijs van den Berg, Daryle Walker and Xiaogang Zhang
<p>
73 Distributed under the Boost Software License, Version
1.0. (See accompanying
74 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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