<?xml version="1.0" encoding="utf-8" ?> <!-- for emacs: -*- coding: utf-8 -*- --> <!-- Apache may like this line in the file .htaccess: AddCharset utf-8 .html --> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" "http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg-flat.dtd" > <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head><title>BesselY -- Bessel function of the second kind</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_betti.html">next</a> | <a href="___Bessel__J.html">previous</a> | <a href="_betti.html">forward</a> | <a href="___Bessel__J.html">backward</a> | up | <a href="index.html">top</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> </td> </tr> </table> <hr/> <div><h1>BesselY -- Bessel function of the second kind</h1> <div class="single"><h2>Synopsis</h2> <ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>BesselY(n,x)</tt><br/><tt>BesselY_n x</tt></div> </dd></dl> </div> </li> <li><div class="single">Inputs:<ul><li><span><tt>n</tt>, <span>an <a href="___Z__Z.html">integer</a></span>, the order</span></li> <li><span><tt>x</tt>, <span>an <a href="___Z__Z.html">integer</a></span>, <span>a <a href="___Q__Q.html">rational number</a></span>, or <span>a <a href="___R__R.html">real number</a></span></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span>the Bessel function of the second kind of order <tt>n</tt> at <tt>x</tt></span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><table class="examples"><tr><td><pre>i1 : BesselY_0 .5 o1 = -.444518733506707 o1 : RR (of precision 53)</pre> </td></tr> <tr><td><pre>i2 : BesselY_2 3p200 o2 = -.160400393484923729675768299537980918104012040174378220981908 o2 : RR (of precision 200)</pre> </td></tr> </table> <p>See <a href="http://en.wikipedia.org/wiki/Bessel_function">http://en.wikipedia.org/wiki/Bessel_function</a>.</p> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="___Bessel__J.html" title="Bessel function of the first kind">BesselJ</a> -- Bessel function of the first kind</span></li> </ul> </div> <div class="waystouse"><h2>Ways to use <tt>BesselY</tt> :</h2> <ul><li>BesselY(ZZ,QQ)</li> <li>BesselY(ZZ,RR)</li> <li>BesselY(ZZ,ZZ)</li> </ul> </div> </div> </body> </html>