The zeros of Faber polynomials generated by an 𝑚-star-Reference-Cited by-同舟云学术

The zeros of Faber polynomials generated by an 𝑚-star

Published:1996 Issue:213 Volume:65 Page:151-156
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Kuijlaars Arno

Abstract

It is shown that the zeros of the Faber polynomials generated by a regular m m -star are located on the m m -star. This proves a recent conjecture of J. Bartolomeo and M. He. The proof uses the connection between zeros of Faber polynomials and Chebyshev quadrature formulas.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1996-65-213/S0025-5718-96-00684-9/S0025-5718-96-00684-9.pdf

Reference7 articles.

1. On Faber polynomials generated by an 𝑚-star;Bartolomeo, J.;Math. Comp.,1994

2. Quadrature Formulae

3. Pure and Applied Mathematics, Vol. XV;Karlin, Samuel,1966

4. A. B. J. Kuijlaars, Chebyshev type quadrature and zeros of Faber polynomials, J. Comput. Appl. Math. (to appear).

5. Weight functions which admit Tchebycheff quadrature;Peherstorfer, Franz;Bull. Austral. Math. Soc.,1982

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