Faber polynomials, Cayley--Hamilton equation and Newton symmetric functions

DOI10.1016/j.bulsci.2005.08.002zbMath1094.30010OpenAlexW2037893622MaRDI QIDQ2490038

Abdlilah Bouali

Publication date: 28 April 2006

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2005.08.002

zbMATH Keywords

Faber polynomialsCaley-Hamilton theorem

Mathematics Subject Classification ID

General theory of conformal mappings (30C35)

Related Items (16)

Coefficient Bounds of Bi-univalent Functions Using Faber Polynomial ⋮ Faber polynomial coefficients for meromorphic bi-subordinate functions of complex order ⋮ Completely explicit solutions of Eshelby's problems of smooth inclusions embedded in a circular disk, full- and half-planes ⋮ On the best linear approximation of holomorphic functions ⋮ Faber polynomials coefficients estimates for a certain subclass of Bazilevic functions ⋮ Unnamed Item ⋮ Coefficient estimates for certain families of analytic functions associated with Faber polynomial ⋮ Solution of logarithmic coefficients conjectures for some classes of convex functions ⋮ Faber polynomial coefficient estimates for meromorphic bi-starlike functions ⋮ On the action of Virasoro algebra on the space of univalent functions ⋮ Faber polynomial coefficients of classes of meromorphic bistarlike functions ⋮ Differential calculus on the Faber polynomials ⋮ Application of Faber polynomials in proving combinatorial identities ⋮ ON FOURIER COEFFICIENTS OF MODULAR FORMS ⋮ Generalized Humbert polynomials and second-order partial differential operators ⋮ Coefficient problems for certain subclass of m-fold symmetric bi-univalent functions by using Faber polynomial

Cites Work

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• Explicit representations of Faber polynomials for \(m\)-cusped hypocycloids
• An algebra of diffential operators and generating functions on the set of univalent functions
• Faber Polynomials and the Faber Series
• Faber polynomials in the theory of univalent functions
• On Faber Polynomials

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