Explicit Representations of Faber Polynomials form-Cusped Hypocycloids Original Research Article

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.