Title

Resultants of Chebyshev Polynomials

Authors

Authors

J. Gishe;M. E. H. Ismail

Comments

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Abbreviated Journal Title

Z. Anal. ihre. Anwend.

Keywords

Chebyshev polynomials; resultants; discriminants; lowering; (annihilation) operators; Mathematics, Applied; Mathematics

Abstract

Recently, K. Dillcher and K. B. Stolarsky [Trans. Amer. Math. Soc. 357 (2004) 965 - 981] used algebraic methods to evaluate the resultant of two linear combinations of Chebyshev polynomials of the second kind. In this paper we give an alternative method of computing the same resultant and resultants of more general combinations of Chebyshev polynomials of the second kind. We also consider resultants of linear combinations of Chebyshev polynomials of the first kind.

Journal Title

Zeitschrift Fur Analysis Und Ihre Anwendungen

Volume

27

Issue/Number

4

Publication Date

1-1-2008

Document Type

Article

Language

English

First Page

499

Last Page

508

WOS Identifier

WOS:000262024800008

ISSN

0232-2064

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