Resultants of Chebyshev Polynomials

    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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