Inequalities on coefficients for certain classes of m-fold symmetric and bi-univalent functions equipped with Faber polynomial

DOI10.3906/mat-1808-82zbMath1414.30018OpenAlexW2910320353WikidataQ128536978 ScholiaQ128536978MaRDI QIDQ5742936

Adnan Canbulat, F. Müge Sakar

Publication date: 8 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/708db9a03699eea7f1fdce84a9e70c8b671fa1ad

zbMATH Keywords

coefficient estimatesnew class of analytic functions in disk

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)

Cites Work

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• Initial coefficient bounds for a subclass of \(m\)-fold symmetric bi-univalent functions
• Differential calculus on the Faber polynomials
• The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in \(| z| < 1\)
• Unpredictability of the coefficients of m-fold symmetric bi-starlike functions
• On a New Subclass of m-Fold Symmetric Biunivalent Functions Equipped with Subordinate Conditions
• Coefficient bounds for subclasses of m-fold symmetric bi-univalent functions
• On a Coefficient Problem for Bi-Univalent Functions

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