Unpredictability of the coefficients of m-fold symmetric bi-starlike functions

DOI10.1142/S0129167X14500645zbMath1295.30036OpenAlexW2121024005MaRDI QIDQ2878765

Samaneh G. Hamidi, Jay M. Jahangiri

Publication date: 5 September 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x14500645

zbMATH Keywords

Faber polynomial expansion\(m\)-fold symmetric bi-starlike functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (11)

Faber polynomial coefficient bounds for \(m\)-fold symmetric analytic and bi-univalent functions involving \(q\)-calculus ⋮ Coefficient Bounds for a Subclass of m-Fold Symmetric λ-Pseudo Bi-starlike Functions ⋮ Coefficient estimates for a new subclass of m-fold symmetric analytic bi-univalent functions ⋮ The study of coefficient estimates and Fekete-Szegö inequalities for the new classes of \(m\)-fold symmetric bi-univalent functions defined using an operator ⋮ Coefficient problems for unified starlike and convex classes of m-fold symmetric bi-univalent functions ⋮ Coefficient estimates for general subclasses of $m$-foldsymmetric analytic bi-univalent functions ⋮ Coefficient estimates for m-fold symmetric bi-subordinate functions ⋮ Inequalities on coefficients for certain classes of m-fold symmetric and bi-univalent functions equipped with Faber polynomial ⋮ Advances on the coefficient bounds for m-fold symmetric bi-close-to-convex functions ⋮ On certain classes of bi-univalent functions related to m-fold symmetry ⋮ Coefficient problems for certain subclass of m-fold symmetric bi-univalent functions by using Faber polynomial

Cites Work

• A proof of the Bieberbach conjecture
• A problem for the coefficients of p-fold symmetric univalent functions
• Inverse coefficients for functions of bounded boundary rotation
• Estimates for inverse coefficients of univalent functions from integral means
• An algebra of diffential operators and generating functions on the set of univalent functions
• Differential calculus on the Faber polynomials
• Relations between the coefficients of a univalent function
• The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in \(| z| < 1\)
• Coefficients of univalent functions with restricted maximum modulus
• Coefficient bounds for inverses of odd univalent functions
• A Proof That An Odd Schlicht Function Has Bounded Coefficients
• Eine Bemerkung Über Ungerade Schlichte Funktionen
• Coefficients of powers of univalent functions
• On the theory of univalent functions

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