Explicit Representations of Faber Polynomials for m-Cusped Hypocycloids

Authors

Matthew He, Nova Southeastern UniversityFollow

Document Type

Article

Publication Date

11-1-1996

Publication Title

Journal of Approximation Theory

ISSN

0021-9045

Volume

87

Issue/No.

2

First Page

137

Last Page

147

Abstract

LetF_n(z) be Faber polynomials associated with anm-cusped hypocycloid. We derive an explicit algebraic expression forF_n(z) via a Cauchy integral formula. Using a differential equation ofF_n(z), we precisely representF_n(z) in terms of generalized hypergeometric functions.

NSUWorks Citation

He, Matthew, "Explicit Representations of Faber Polynomials for m-Cusped Hypocycloids" (1996). Mathematics Faculty Articles. 191.
https://nsuworks.nova.edu/math_facarticles/191

DOI

10.1006/jath.1996.0096