Faber polynomials with common zero

DOI10.1007/s13324-020-00461-5zbMath1456.30017arXiv1505.02355OpenAlexW3121090621MaRDI QIDQ2222854

Meerim Imashkyzy, V. V. Savchuk, Fahreddin G. Abdullayev

Publication date: 27 January 2021

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.02355

zbMATH Keywords

Faber polynomialsunivalent functionsLambert function

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Cites Work

• Explicit representations of Faber polynomials for \(m\)-cusped hypocycloids
• The zeros of Faber polynomials for an \(m\)-cusped hypocycloid
• The Faber polynomials for \(m\)-fold symmetric domains
• On the Lambert \(w\) function
• The Faber polynomials for circular lunes
• The Faber polynomials for circular sectors
• Explicit Faber polynomials on circular sectors
• On Faber Polynomials Generated by An m-Star
• Faber polynomials corresponding to rational exterior mapping functions
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