Mathematics Faculty Articles
On Faber Polynomials Generated by an m-star
Document Type
Article
Publication Date
1994
Publication Title
Mathematics of Computation
Keywords
Faber polynomials, m-star, Zero distribution
ISSN
0025-5718
Volume
62
First Page
277
Last Page
287
Abstract
In this paper, we study the Faber polynomials generated by a regular m-star
An explicit and precise expression for is obtained by computing the coefficients via a Cauchy integral formula. The location and limiting distribution of zeros of are explored. We also find a class of second-order hypergeometric differential equations satisfied by . Our results extend some classical results of Chebyshev polynomials for a segment in the case when .
NSUWorks Citation
Bartolomeo, J. and He, Matthew, "On Faber Polynomials Generated by an m-star" (1994). Mathematics Faculty Articles. 196.
https://nsuworks.nova.edu/math_facarticles/196
DOI
10.1090/S0025-5718-1994-1203732-6
