<title>TR1 C Functions Quick Reference</title>
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<p>
The assoc_laguerre functions return:
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../equations/laguerre_1.svg"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../equations/laguerre_1.svg"></span>
+
+ </p></blockquote></div>
<p>
See also <a class="link" href="sf_poly/laguerre.html" title="Laguerre (and Associated) Polynomials">laguerre</a> for
the full template (header only) version of this function.
<p>
The assoc_legendre functions return:
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../equations/legendre_1b.svg"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../equations/legendre_1b.svg"></span>
+
+ </p></blockquote></div>
<p>
See also <a class="link" href="sf_poly/legendre.html" title="Legendre (and Associated) Polynomials">legendre_p</a> for
the full template (header only) version of this function.
<p>
Returns the beta function of <span class="emphasis"><em>x</em></span> and <span class="emphasis"><em>y</em></span>:
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../equations/beta1.svg"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../equations/beta1.svg"></span>
+
+ </p></blockquote></div>
<p>
See also <a class="link" href="sf_beta/beta_function.html" title="Beta">beta</a> for
the full template (header only) version of this function.
<p>
Returns the complete elliptic integral of the first kind of <span class="emphasis"><em>k</em></span>:
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../equations/ellint6.svg"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../equations/ellint6.svg"></span>
+
+ </p></blockquote></div>
<p>
See also <a class="link" href="ellint/ellint_1.html" title="Elliptic Integrals of the First Kind - Legendre Form">ellint_1</a> for the
full template (header only) version of this function.
<p>
Returns the complete elliptic integral of the second kind of <span class="emphasis"><em>k</em></span>:
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../equations/ellint7.svg"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../equations/ellint7.svg"></span>
+
+ </p></blockquote></div>
<p>
See also <a class="link" href="ellint/ellint_2.html" title="Elliptic Integrals of the Second Kind - Legendre Form">ellint_2</a> for the
full template (header only) version of this function.
Returns the complete elliptic integral of the third kind of <span class="emphasis"><em>k</em></span>
and <span class="emphasis"><em>nu</em></span>:
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../equations/ellint8.svg"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../equations/ellint8.svg"></span>
+
+ </p></blockquote></div>
<p>
See also <a class="link" href="ellint/ellint_3.html" title="Elliptic Integrals of the Third Kind - Legendre Form">ellint_3</a> for the
full template (header only) version of this function.
Returns the modified bessel function of the first kind of <span class="emphasis"><em>nu</em></span>
and <span class="emphasis"><em>x</em></span>:
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../equations/mbessel2.svg"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../equations/mbessel2.svg"></span>
+
+ </p></blockquote></div>
<p>
See also <a class="link" href="bessel/mbessel.html" title="Modified Bessel Functions of the First and Second Kinds">cyl_bessel_i</a> for
the full template (header only) version of this function.
Returns the bessel function of the first kind of <span class="emphasis"><em>nu</em></span> and
<span class="emphasis"><em>x</em></span>:
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../equations/bessel2.svg"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../equations/bessel2.svg"></span>
+
+ </p></blockquote></div>
<p>
See also <a class="link" href="bessel/bessel_first.html" title="Bessel Functions of the First and Second Kinds">cyl_bessel_j</a>
for the full template (header only) version of this function.
Returns the modified bessel function of the second kind of <span class="emphasis"><em>nu</em></span>
and <span class="emphasis"><em>x</em></span>:
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../equations/mbessel3.svg"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../equations/mbessel3.svg"></span>
+
+ </p></blockquote></div>
<p>
See also <a class="link" href="bessel/mbessel.html" title="Modified Bessel Functions of the First and Second Kinds">cyl_bessel_k</a> for
the full template (header only) version of this function.
Returns the bessel function of the second kind (Neumann function) of <span class="emphasis"><em>nu</em></span>
and <span class="emphasis"><em>x</em></span>:
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../equations/bessel3.svg"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../equations/bessel3.svg"></span>
+
+ </p></blockquote></div>
<p>
See also <a class="link" href="bessel/bessel_first.html" title="Bessel Functions of the First and Second Kinds">cyl_neumann</a>
for the full template (header only) version of this function.
Returns the incomplete elliptic integral of the first kind of <span class="emphasis"><em>k</em></span>
and <span class="emphasis"><em>phi</em></span>:
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../equations/ellint2.svg"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../equations/ellint2.svg"></span>
+
+ </p></blockquote></div>
<p>
See also <a class="link" href="ellint/ellint_1.html" title="Elliptic Integrals of the First Kind - Legendre Form">ellint_1</a> for the
full template (header only) version of this function.
Returns the incomplete elliptic integral of the second kind of <span class="emphasis"><em>k</em></span>
and <span class="emphasis"><em>phi</em></span>:
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../equations/ellint3.svg"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../equations/ellint3.svg"></span>
+
+ </p></blockquote></div>
<p>
See also <a class="link" href="ellint/ellint_2.html" title="Elliptic Integrals of the Second Kind - Legendre Form">ellint_2</a> for the
full template (header only) version of this function.
Returns the incomplete elliptic integral of the third kind of <span class="emphasis"><em>k</em></span>,
<span class="emphasis"><em>nu</em></span> and <span class="emphasis"><em>phi</em></span>:
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../equations/ellint4.svg"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../equations/ellint4.svg"></span>
+
+ </p></blockquote></div>
<p>
See also <a class="link" href="ellint/ellint_3.html" title="Elliptic Integrals of the Third Kind - Legendre Form">ellint_3</a> for the
full template (header only) version of this function.
<p>
Returns the exponential integral Ei of <span class="emphasis"><em>x</em></span>:
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../equations/expint_i_1.svg"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../equations/expint_i_1.svg"></span>
+
+ </p></blockquote></div>
<p>
See also <a class="link" href="expint/expint_i.html" title="Exponential Integral Ei">expint</a> for the
full template (header only) version of this function.
<p>
Returns the n'th Hermite polynomial of <span class="emphasis"><em>x</em></span>:
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../equations/hermite_0.svg"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../equations/hermite_0.svg"></span>
+
+ </p></blockquote></div>
<p>
See also <a class="link" href="sf_poly/hermite.html" title="Hermite Polynomials">hermite</a> for the
full template (header only) version of this function.
<p>
Returns the n'th Laguerre polynomial of <span class="emphasis"><em>x</em></span>:
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../equations/laguerre_0.svg"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../equations/laguerre_0.svg"></span>
+
+ </p></blockquote></div>
<p>
See also <a class="link" href="sf_poly/laguerre.html" title="Laguerre (and Associated) Polynomials">laguerre</a> for
the full template (header only) version of this function.
<p>
Returns the l'th Legendre polynomial of <span class="emphasis"><em>x</em></span>:
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../equations/legendre_0.svg"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../equations/legendre_0.svg"></span>
+
+ </p></blockquote></div>
<p>
See also <a class="link" href="sf_poly/legendre.html" title="Legendre (and Associated) Polynomials">legendre_p</a> for
the full template (header only) version of this function.
<p>
Returns the Riemann Zeta function of <span class="emphasis"><em>x</em></span>:
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../equations/zeta1.svg"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../equations/zeta1.svg"></span>
+
+ </p></blockquote></div>
<p>
See also <a class="link" href="zetas/zeta.html" title="Riemann Zeta Function">zeta</a> for the full template
(header only) version of this function.
Returns the spherical Bessel function of the first kind of <span class="emphasis"><em>x</em></span>
j<sub>n</sub>(x):
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../equations/sbessel2.svg"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../equations/sbessel2.svg"></span>
+
+ </p></blockquote></div>
<p>
See also <a class="link" href="bessel/sph_bessel.html" title="Spherical Bessel Functions of the First and Second Kinds">sph_bessel</a> for
the full template (header only) version of this function.
Returns the spherical associated Legendre function of <span class="emphasis"><em>l</em></span>,
<span class="emphasis"><em>m</em></span> and <span class="emphasis"><em>theta</em></span>:
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../equations/spherical_3.svg"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../equations/spherical_3.svg"></span>
+
+ </p></blockquote></div>
<p>
See also <a class="link" href="sf_poly/sph_harm.html" title="Spherical Harmonics">spherical_harmonic</a>
for the full template (header only) version of this function.
<p>
Returns the spherical Neumann function of <span class="emphasis"><em>x</em></span> y<sub>n</sub>(x):
</p>
-<p>
- <span class="inlinemediaobject"><img src="../../equations/sbessel2.svg"></span>
- </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../equations/sbessel2.svg"></span>
+
+ </p></blockquote></div>
<p>
See also <a class="link" href="bessel/sph_bessel.html" title="Spherical Bessel Functions of the First and Second Kinds">sph_bessel</a> for
the full template (header only) version of this function.