Article
Explicit Representations of Faber Polynomials for m-Cusped Hypocycloids
Journal of Approximation Theory
Document Type
Article
Publication Date
11-1-1996
Disciplines
Abstract
LetFn(z) be Faber polynomials associated with anm-cusped hypocycloid. We derive an explicit algebraic expression forFn(z) via a Cauchy integral formula. Using a differential equation ofFn(z), we precisely representFn(z) in terms of generalized hypergeometric functions.
DOI
10.1006/jath.1996.0096
Citation Information
Matthew He. "Explicit Representations of Faber Polynomials for m-Cusped Hypocycloids" Journal of Approximation Theory Vol. 87 Iss. 2 (1996) p. 137 - 147 ISSN: 0021-9045 Available at: http://works.bepress.com/matthew-he/23/