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    <title>MaplePrimes - answers and comments on Question, Analytic not finding all the (complex) roots sometime</title>
    <link>http://www.mapleprimes.com/questions/143224-Analytic-Not-Finding-All-The-complex</link>
    <language>en-us</language>
    <copyright>2026 Maplesoft, A Division of Waterloo Maple Inc.</copyright>
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    <lastBuildDate>Tue, 09 Jun 2026 10:19:58 GMT</lastBuildDate>
    <pubDate>Tue, 09 Jun 2026 10:19:58 GMT</pubDate>
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    <itunes:summary />
    <description>The latest answers and comments added to the Question, Analytic not finding all the (complex) roots sometime</description>
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      <url>http://www.mapleprimes.com/images/mapleprimeswhite.jpg</url>
      <title>MaplePrimes - answers and comments on Question, Analytic not finding all the (complex) roots sometime</title>
      <link>http://www.mapleprimes.com/questions/143224-Analytic-Not-Finding-All-The-complex</link>
    </image>
    <item>
      <title>Consider dividing by z-1</title>
      <link>http://www.mapleprimes.com/questions/143224-Analytic-Not-Finding-All-The-complex?ref=Feed:MaplePrimes:Analytic not finding all the (complex) roots sometime:Comments#answer143286</link>
      <itunes:summary>&lt;p&gt;You may consider dividing by z-1, since z = 1 is always a root. So let f1:=f/(z-1);&lt;/p&gt;
&lt;p&gt;I tried with Digits = 15 and parameters lambda = 25.5904477612, p = 0.0484865622, n= 27.&lt;/p&gt;
&lt;p&gt;Using f,&amp;nbsp; 26 roots were found: One was missing.&lt;br&gt;Using f1,&amp;nbsp; also 26 roots were found. So we got them all.&lt;br&gt;I doubt if this device guarantees success always, but it might help.&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;You may consider dividing by z-1, since z = 1 is always a root. So let f1:=f/(z-1);&lt;/p&gt;
&lt;p&gt;I tried with Digits = 15 and parameters lambda = 25.5904477612, p = 0.0484865622, n= 27.&lt;/p&gt;
&lt;p&gt;Using f,&amp;nbsp; 26 roots were found: One was missing.&lt;br&gt;Using f1,&amp;nbsp; also 26 roots were found. So we got them all.&lt;br&gt;I doubt if this device guarantees success always, but it might help.&lt;/p&gt;</description>
      <guid>143286</guid>
      <pubDate>Fri, 08 Feb 2013 22:22:02 Z</pubDate>
      <itunes:author>Preben Alsholm</itunes:author>
      <author>Preben Alsholm</author>
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