Resultants of Chebyshev polynomials
type: Item
instance of: scholarly article
title: Resultants of Chebyshev polynomials
zbMATH Open document ID: 1194.12001
DOI: 10.4171/ZAA/1368
author: Jemal Gishe
author: Mourad E. H. Ismail
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2008-11-27T00:00:00Z
full work available at URL: http://www.ems-ph.org/journals/show_pdf.php
review text: The authors calculate the resultants of special linear combinations of Chebyshev polynomials of the second kind, extending and simplifying earlier work by \textit{K. Dilcher} and \textit{K. B. Stolarsky} [Trans. Am. Math. Soc. 357, No. 3, 965--981 (2005; Zbl 1067.12001)]. They also prove analogous results for Chebyshev polynomials of the first kind.
reviewed by: Tom M. Apostol
Mathematics Subject Classification ID: 12E05
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 13P05
zbMATH DE Number: 5374724
zbMATH Keywords: Chebyshev polynomials of the first kind
zbMATH Keywords: Chebyshev polynomials of the second kind
zbMATH Keywords: resultants
zbMATH Keywords: discriminants
zbMATH Keywords: lowering (annihilation) operators
MaRDI profile type: Publication
cites work: The Resultant of the Cyclotomic Polynomials F m (ax) and F n (bx)
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OpenAlex ID: W1989176112
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description: scientific article; zbMATH DE number 5374724