Bounds for a new subclass of bi-univalent functions subordinate to the Fibonacci numbers

DOI10.3906/mat-1910-41zbMath1443.30006OpenAlexW3045170006MaRDI QIDQ4970788

Şahsene Altınkaya

Publication date: 7 October 2020

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

Full work available at URL: https://doi.org/10.3906/mat-1910-41

zbMATH Keywords

subordinationFibonacci numbersbi-univalent functions

Mathematics Subject Classification ID

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

Related Items (8)

A comprehensive family of biunivalent functions defined by \(k\)-Fibonacci numbers ⋮ On a subclass of bi-close-to-convex functions by means of the Gegenbauer polynomial ⋮ Faber polynomials coefficients estimates for a certain subclass of Bazilevic functions ⋮ $k$-Fibonacci numbers and $k$-Lucas numbers and associated bipartite graphs ⋮ Coefficient estimates for certain families of analytic functions associated with Faber polynomial ⋮ On a family of bi-univalent functions related to the Fibonacci numbers ⋮ Coefficient estimates for some classes of biunivalent function associated with Jackson \(q\)-difference operator ⋮ Unnamed Item

Cites Work

• On \(\alpha \)-convex functions related to shell-like functions connected with Fibonacci numbers
• Certain subclasses of analytic and bi-univalent functions
• Faber polynomial coefficients of bi-subordinate functions
• Faber polynomial coefficient estimates for bi-univalent functions defined by the Tremblay fractional derivative operator
• Subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers
• The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in \(| z| < 1\)
• Faber polynomial coefficient estimates for bi-univalent functions of complex order based on subordinate conditions involving of the Jackson $(p,q)$-derivative
• Some general coefficient estimates for a new class of analytic and bi-univalent functions defined by a linear combination
• On a Coefficient Problem for Bi-Univalent Functions
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