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    <title>MaplePrimes - answers and comments on Question, Bessel </title>
    <link>http://www.mapleprimes.com/questions/35557-Bessel-</link>
    <language>en-us</language>
    <copyright>2026 Maplesoft, A Division of Waterloo Maple Inc.</copyright>
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    <lastBuildDate>Tue, 09 Jun 2026 09:16:08 GMT</lastBuildDate>
    <pubDate>Tue, 09 Jun 2026 09:16:08 GMT</pubDate>
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    <itunes:summary />
    <description>The latest answers and comments added to the Question, Bessel </description>
    <image>
      <url>http://www.mapleprimes.com/images/mapleprimeswhite.jpg</url>
      <title>MaplePrimes - answers and comments on Question, Bessel </title>
      <link>http://www.mapleprimes.com/questions/35557-Bessel-</link>
    </image>
    <item>
      <title>Please upload an mw file instead</title>
      <link>http://www.mapleprimes.com/questions/35557-Bessel-?ref=Feed:MaplePrimes:Bessel :Comments#answer44258</link>
      <itunes:summary>&lt;p&gt;Please upload an mw file instead. Chances are better that someone will run this (as opposed to typing in the contents of a PDF file).&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;Please upload an mw file instead. Chances are better that someone will run this (as opposed to typing in the contents of a PDF file).&lt;/p&gt;</description>
      <guid>44258</guid>
      <pubDate>Tue, 09 Mar 2010 23:37:21 Z</pubDate>
      <itunes:author>Thomas Richard</itunes:author>
      <author>Thomas Richard</author>
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    <item>
      <title>renew</title>
      <link>http://www.mapleprimes.com/questions/35557-Bessel-?ref=Feed:MaplePrimes:Bessel :Comments#answer44260</link>
      <itunes:summary>&lt;p&gt;the formula I want to show is in the PDF file I have uploaded(because it is a little difficult to write here),and in Maple I do,&lt;/p&gt;
&lt;p&gt;&lt;maple&gt;&lt;/maple&gt;hh := proc (`&amp;amp;varpi;`) options operator, arrow; (`&amp;amp;varpi;`-V*m*Pi/LL)^2/C[f]^2-m^2*Pi^2/LL^2 end proc; H := proc (`&amp;amp;varpi;`) options operator, arrow; piecewise(0 &amp;lt;= hh(`&amp;amp;varpi;`), sqrt(hh(`&amp;amp;varpi;`)), hh(`&amp;amp;varpi;`) &amp;lt; 0, sqrt(-hh(`&amp;amp;varpi;`))) end proc; Y := proc (`&amp;amp;varpi;`) options operator, arrow; piecewise(0 &amp;lt;= hh(`&amp;amp;varpi;`), BesselJ(n, R*sqrt(hh(`&amp;amp;varpi;`))), hh(`&amp;amp;varpi;`) &amp;lt; 0, BesselI(n, R*sqrt(-hh(`&amp;amp;varpi;`)))) end proc; YY := proc (`&amp;amp;varpi;`, z) options operator, arrow; piecewise(0 &amp;lt;= hh(`&amp;amp;varpi;`), BesselJ(n, z), hh(`&amp;amp;varpi;`) &amp;lt; 0, BesselI(n, z)) end proc; www := proc (`&amp;amp;varpi;`) options operator, arrow; (D[2](YY))(`&amp;amp;varpi;`, R*sqrt(hh(`&amp;amp;varpi;`))) end proc; PF := proc (`&amp;amp;varpi;`) options operator, arrow; rho[f]*(`&amp;amp;varpi;`-V*m*Pi/LL)^2*Y(`&amp;amp;varpi;`)/(H(`&amp;amp;varpi;`)*www(`&amp;amp;varpi;`)) end proc&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;Now I am not sure whether it is right or not, can you help me?&lt;/p&gt;
&lt;p&gt;Thank you&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;the formula I want to show is in the PDF file I have uploaded(because it is a little difficult to write here),and in Maple I do,&lt;/p&gt;
&lt;p&gt;&lt;maple&gt;&lt;/maple&gt;hh := proc (`&amp;amp;varpi;`) options operator, arrow; (`&amp;amp;varpi;`-V*m*Pi/LL)^2/C[f]^2-m^2*Pi^2/LL^2 end proc; H := proc (`&amp;amp;varpi;`) options operator, arrow; piecewise(0 &amp;lt;= hh(`&amp;amp;varpi;`), sqrt(hh(`&amp;amp;varpi;`)), hh(`&amp;amp;varpi;`) &amp;lt; 0, sqrt(-hh(`&amp;amp;varpi;`))) end proc; Y := proc (`&amp;amp;varpi;`) options operator, arrow; piecewise(0 &amp;lt;= hh(`&amp;amp;varpi;`), BesselJ(n, R*sqrt(hh(`&amp;amp;varpi;`))), hh(`&amp;amp;varpi;`) &amp;lt; 0, BesselI(n, R*sqrt(-hh(`&amp;amp;varpi;`)))) end proc; YY := proc (`&amp;amp;varpi;`, z) options operator, arrow; piecewise(0 &amp;lt;= hh(`&amp;amp;varpi;`), BesselJ(n, z), hh(`&amp;amp;varpi;`) &amp;lt; 0, BesselI(n, z)) end proc; www := proc (`&amp;amp;varpi;`) options operator, arrow; (D[2](YY))(`&amp;amp;varpi;`, R*sqrt(hh(`&amp;amp;varpi;`))) end proc; PF := proc (`&amp;amp;varpi;`) options operator, arrow; rho[f]*(`&amp;amp;varpi;`-V*m*Pi/LL)^2*Y(`&amp;amp;varpi;`)/(H(`&amp;amp;varpi;`)*www(`&amp;amp;varpi;`)) end proc&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;Now I am not sure whether it is right or not, can you help me?&lt;/p&gt;
&lt;p&gt;Thank you&lt;/p&gt;</description>
      <guid>44260</guid>
      <pubDate>Wed, 10 Mar 2010 04:59:27 Z</pubDate>
      <itunes:author>lei_xiaowen</itunes:author>
      <author>lei_xiaowen</author>
    </item>
    <item>
      <title> </title>
      <link>http://www.mapleprimes.com/questions/35557-Bessel-?ref=Feed:MaplePrimes:Bessel :Comments#answer44259</link>
      <itunes:summary>&lt;p&gt;&lt;span style="font-family: &amp;quot;Century&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.5pt; mso-bidi-font-size: 11.0pt; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 'ＭＳ 明朝'; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-bidi-theme-font: minor-bidi; mso-ansi-language: EN-US; mso-fareast-language: JA; mso-bidi-language: AR-SA" lang="EN-US"&gt;&lt;v:shapetype id="_x0000_t75" stroked="f" filled="f" path="m@4@5l@4@11@9@11@9@5xe" o:preferrelative="t" o:spt="75" coordsize="21600,21600"&gt;&lt;v:stroke joinstyle="miter"&gt;&lt;/v:stroke&gt;&lt;v:formulas&gt;&lt;v:f eqn="if lineDrawn pixelLineWidth 0"&gt;&lt;/v:f&gt;&lt;v:f eqn="sum @0 1 0"&gt;&lt;/v:f&gt;&lt;v:f eqn="sum 0 0 @1"&gt;&lt;/v:f&gt;&lt;v:f eqn="prod @2 1 2"&gt;&lt;/v:f&gt;&lt;v:f eqn="prod @3 21600 pixelWidth"&gt;&lt;/v:f&gt;&lt;v:f eqn="prod @3 21600 pixelHeight"&gt;&lt;/v:f&gt;&lt;v:f eqn="sum @0 0 1"&gt;&lt;/v:f&gt;&lt;v:f eqn="prod @6 1 2"&gt;&lt;/v:f&gt;&lt;v:f eqn="prod @7 21600 pixelWidth"&gt;&lt;/v:f&gt;&lt;v:f eqn="sum @8 21600 0"&gt;&lt;/v:f&gt;&lt;v:f eqn="prod @7 21600 pixelHeight"&gt;&lt;/v:f&gt;&lt;v:f eqn="sum @10 21600 0"&gt;&lt;/v:f&gt;&lt;/v:formulas&gt;&lt;v:path o:connecttype="rect" gradientshapeok="t" o:extrusionok="f"&gt;&lt;/v:path&gt;&lt;o:lock aspectratio="t" v:ext="edit"&gt;&lt;/o:lock&gt;&lt;/v:shapetype&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;&lt;span style="font-family: &amp;quot;Century&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.5pt; mso-bidi-font-size: 11.0pt; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 'ＭＳ 明朝'; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-bidi-theme-font: minor-bidi; mso-ansi-language: EN-US; mso-fareast-language: JA; mso-bidi-language: AR-SA" lang="EN-US"&gt;&lt;v:shapetype id="_x0000_t75" stroked="f" filled="f" path="m@4@5l@4@11@9@11@9@5xe" o:preferrelative="t" o:spt="75" coordsize="21600,21600"&gt;&lt;v:stroke joinstyle="miter"&gt;&lt;/v:stroke&gt;&lt;v:formulas&gt;&lt;v:f eqn="if lineDrawn pixelLineWidth 0"&gt;&lt;/v:f&gt;&lt;v:f eqn="sum @0 1 0"&gt;&lt;/v:f&gt;&lt;v:f eqn="sum 0 0 @1"&gt;&lt;/v:f&gt;&lt;v:f eqn="prod @2 1 2"&gt;&lt;/v:f&gt;&lt;v:f eqn="prod @3 21600 pixelWidth"&gt;&lt;/v:f&gt;&lt;v:f eqn="prod @3 21600 pixelHeight"&gt;&lt;/v:f&gt;&lt;v:f eqn="sum @0 0 1"&gt;&lt;/v:f&gt;&lt;v:f eqn="prod @6 1 2"&gt;&lt;/v:f&gt;&lt;v:f eqn="prod @7 21600 pixelWidth"&gt;&lt;/v:f&gt;&lt;v:f eqn="sum @8 21600 0"&gt;&lt;/v:f&gt;&lt;v:f eqn="prod @7 21600 pixelHeight"&gt;&lt;/v:f&gt;&lt;v:f eqn="sum @10 21600 0"&gt;&lt;/v:f&gt;&lt;/v:formulas&gt;&lt;v:path o:connecttype="rect" gradientshapeok="t" o:extrusionok="f"&gt;&lt;/v:path&gt;&lt;o:lock aspectratio="t" v:ext="edit"&gt;&lt;/o:lock&gt;&lt;/v:shapetype&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;</description>
      <guid>44259</guid>
      <pubDate>Wed, 10 Mar 2010 05:00:12 Z</pubDate>
      <itunes:author>lei_xiaowen</itunes:author>
      <author>lei_xiaowen</author>
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