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	<title>Boole polynomials - Revision history</title>
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	<updated>2026-05-20T19:23:11Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://en.formulasearchengine.com/index.php?title=Boole_polynomials&amp;diff=27040&amp;oldid=prev</id>
		<title>en&gt;R.e.b.: lk</title>
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		<updated>2011-09-06T20:02:23Z</updated>

		<summary type="html">&lt;p&gt;lk&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;In mathematics, the &amp;#039;&amp;#039;&amp;#039;Rainville polynomials&amp;#039;&amp;#039;&amp;#039;  &amp;#039;&amp;#039;p&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;&amp;#039;&amp;#039;n&amp;#039;&amp;#039;&amp;lt;/sub&amp;gt;(&amp;#039;&amp;#039;z&amp;#039;&amp;#039;) are  polynomials introduced by {{harvtxt|Rainville|1945}} given by the [[generating function]]&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\displaystyle e^wI_0(zw) = \sum_np_n(z)w^n&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{{harvtxt|Boas|Buck|1958|loc=p.46}}.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
*{{Citation | last1=Boas | first1=Ralph P. | last2=Buck | first2=R. Creighton | title=Polynomial expansions of analytic functions | url=http://books.google.com/books?id=eihMuwkh4DsC | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge.  | mr=0094466 | year=1958 | volume=19}}&lt;br /&gt;
*{{Citation | last1=Rainville | first1=Earl D. | title=Notes on Legendre polynomials | doi=10.1090/S0002-9904-1945-08330-X  | id={{MR|0011750}} | year=1945 | journal=[[Bulletin of the American Mathematical Society]] | issn=0002-9904 | volume=51 | pages=268–271}}&lt;br /&gt;
[[Category:Polynomials]]&lt;/div&gt;</summary>
		<author><name>en&gt;R.e.b.</name></author>
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