Explicit Representations of Faber Polynomials for m-Cusped Hypocycloids

Matthew He

doi:10.1006/jath.1996.0096

Explicit Representations of Faber Polynomials for m-Cusped Hypocycloids

Matthew He

Research output: Contribution to journal › Article › peer-review

Abstract

Let F _n ( z ) be Faber polynomials associated with an m -cusped hypocycloid. We derive an explicit algebraic expression for F _n ( z ) via a Cauchy integral formula. Using a differential equation of F _n ( z ), we precisely represent F _n ( z ) in terms of generalized hypergeometric functions.

Original language	American English
Pages (from-to)	137-147
Journal	Journal of Approximation Theory
Volume	87
Issue number	2
DOIs	https://doi.org/10.1006/jath.1996.0096
State	Published - Nov 1 1996

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Mathematics

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abstract = " Let F n ( z ) be Faber polynomials associated with an m -cusped hypocycloid. We derive an explicit algebraic expression for F n ( z ) via a Cauchy integral formula. Using a differential equation of F n ( z ), we precisely represent F n ( z ) in terms of generalized hypergeometric functions.",

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AB - Let F n ( z ) be Faber polynomials associated with an m -cusped hypocycloid. We derive an explicit algebraic expression for F n ( z ) via a Cauchy integral formula. Using a differential equation of F n ( z ), we precisely represent F n ( z ) in terms of generalized hypergeometric functions.

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Explicit Representations of Faber Polynomials for m-Cusped Hypocycloids

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