Article
On Faber Polynomials Generated by an m-star
Mathematics of Computation
Document Type
Article
Publication Date
1-1-1994
Keywords
- Faber polynomials,
- m-star,
- Zero distribution
Disciplines
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 .
DOI
10.1090/S0025-5718-1994-1203732-6
Citation Information
J. Bartolomeo and Matthew He. "On Faber Polynomials Generated by an m-star" Mathematics of Computation Vol. 62 (1994) p. 277 - 287 ISSN: 0025-5718 Available at: http://works.bepress.com/matthew-he/34/