On the Faber polynomials of the univalent functions of class \(\Sigma\)

DOI10.1016/0022-247X(91)90193-4zbMath0752.30002MaRDI QIDQ1192772

Pavel G. Todorov

Publication date: 27 September 1992

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

zbMATH Keywords

Koebe functionFibonacci numberFaber polynomialclass \(S\)

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (31)

Comprehensive subclass of \(m\)-fold symmetric bi-univalent functions defined by subordination ⋮ A Comprehensive subclass of analytic and bi-univalent functions associated with subordination ⋮ Coefficient Bounds of Bi-univalent Functions Using Faber Polynomial ⋮ Faber polynomial coefficients for meromorphic bi-subordinate functions of complex order ⋮ Advances on the coefficients of bi-prestarlike functions ⋮ Unnamed Item ⋮ Coefficient estimates for a class of meromorphic bi-univalent functions ⋮ Unnamed Item ⋮ A note on the coefficient estimates of bi-close-to-convex functions ⋮ Coefficient bounds for subclasses of analytic and bi-univalent functions ⋮ Simple criteria for univalence and coefficient bounds for a certain subclass of analytic functions ⋮ Coefficient bounds for certain two subclasses of bi-univalent functions ⋮ Faber polynomial coefficient estimates for a certain subclass of meromorphic bi-univalent functions ⋮ Faber polynomial coefficient estimates for analytic bi-close-to-convex functions ⋮ Faber polynomial coefficient estimates for a class of analytic bi-univalent functions involving a certain differential operator ⋮ Faber polynomial coefficient estimates for a comprehensive subclass of analytic bi-univalent functions ⋮ Coefficient estimates for certain classes of bi-univalent functions ⋮ Coefficient estimates for certain classes of meromorphic bi-univalent functions ⋮ Coefficient estimates for a certain class of analytic and bi-univalent functions defined by fractional derivative ⋮ Coefficient bounds for a new subclass of analytic bi-close-to-convex functions by making use of Faber polynomial expansion ⋮ Faber polynomial coefficient estimates for bi-univalent functions defined by the Tremblay fractional derivative operator ⋮ Coefficient estimates for m-fold symmetric bi-subordinate functions ⋮ Faber polynomial coefficient estimates for certain subclasses of meromorphic bi-univalent functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Coefficient estimates for Libera type bi-close-to-convex functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Coefficients of meromorphic bi-Bazilevic functions ⋮ Some general coefficient estimates for a new class of analytic and bi-univalent functions defined by a linear combination ⋮ Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation

Cites Work

• A proof of the Bieberbach conjecture
• Generalized Grunsky coefficients and inequalities
• Explicit Formulas for the Coefficients of α-Convex Functions, α ≧ 0
• On the Coefficients of p-Valent Functions Which are Polynomials of Univalent Functions
• Faber Expansions of Rational and Entire functions
• Explicit Formulas for the Coefficients of Faber Polynomials with Respect to Univalent Functions of the Class &#931
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