Coefficient inequalities for analytic functions connected with \(k\)-Fibonacci numbers

DOI10.5831/HMJ.2022.44.4.521MaRDI QIDQ6547399

S. Bulut, Janusz Sokół

Publication date: 30 May 2024

Published in: Honam Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Fekete-Szegö problemsubordinationanalytic functionunivalent functionFibonacci numbershell-like function

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Cites Work

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• Certain results for a class of convex functions related to a shell-like curve connected with Fibonacci numbers
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• On Brennan's conjecture for a special class of functions
• The \(k\)-Fibonacci sequence and the Pascal 2-triangle
• On starlike functions connected with Fibonacci numbers
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• SECOND HANKEL DETERMINANT PROBLEM FOR SOME ANALYTIC FUNCTION CLASSES WITH CONNECTED K-FIBONACCI NUMBERS
• Eine Bemerkung Über Ungerade Schlichte Funktionen
• An Upper Bound for Third Hankel Determinant of Starlike Functions Related to Shell-like Curves Connected with Fibonacci Numbers
• Sharp coefficient bounds of analytic functions subordinate to shell-like curves connected with \(k\)-Fibonacci numbers

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