<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE ArticleSet PUBLIC "-//NLM//DTD PubMed 2.6//EN" "http://www.ncbi.nlm.nih.gov/corehtml/query/static/PubMed.dtd">
<ArticleSet>
<Article>
<Journal>
				<PublisherName>Iranian Mathematical Society (IMS)</PublisherName>
				<JournalTitle>Bulletin of the Iranian Mathematical Society</JournalTitle>
				<Issn>1017-060X</Issn>
				<Volume>38</Volume>
				<Issue>3</Issue>
				<PubDate PubStatus="epublish">
					<Year>2012</Year>
					<Month>09</Month>
					<Day>15</Day>
				</PubDate>
			</Journal>
<ArticleTitle>The coefficients of  differentiated expansions of double and triple Jacobi polynomials</ArticleTitle><FirstPage>739</FirstPage>
			<LastPage>766</LastPage>
			<Language>en</Language>
<AuthorList>
<Author>
					<FirstName>Eid </FirstName>
					<LastName>Doha</LastName>
					<Affiliation>Cairo University-Faculty of Science-Mathematics Department</Affiliation>
				</Author>
<Author>
					<FirstName>Waleed Mohammed</FirstName>
					<LastName>Abd-Elhameed</LastName>
					<Affiliation>Cairo University-Faculty of Science-Mathematics Department</Affiliation>
				</Author>
<Author>
					<FirstName>Hany </FirstName>
					<LastName>Ahmed</LastName>
					<Affiliation>Helwan University-Faculty of Science-Mathematics Department</Affiliation>
				</Author>
</AuthorList>
			<History>
				<PubDate PubStatus="received">
					<Year>2010</Year>
					<Month>11</Month>
					<Day>15</Day>
				</PubDate>
			</History>
		<Abstract><![CDATA[Formulae expressing explicitly the coefficients of an expansion of double Jacobi polynomials which has been partially differentiated an arbitrary number of times with respect to its variables in terms of the coefficients of the original expansion are stated and proved. Extension to expansion of triple Jacobi polynomials is given. The results for the special cases of double and triple ultraspherical polynomials are considered. Also the results for Chebyshev polynomials of the first, second, third and fourth kinds and of Legendre polynomials are noted. An application of how to use double Jacobi polynomials for solving Poisson’s equation in two variables subject to nonhomogeneous mixed boundary conditions is described.]]></Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Jacobi polynomials</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">spectral methods</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">hypergeometric series, Poisson’s
equation</Param>
			</Object>
		</ObjectList>
</Article>
</ArticleSet>