On starlike functions connected with \(k\)-Fibonacci numbers

DOI10.1007/s40840-014-0016-xzbMath1312.30029OpenAlexW2461583599MaRDI QIDQ2017710

Janusz Sokół, Nihal Yilmaz Özgür

Publication date: 23 March 2015

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-014-0016-x

zbMATH Keywords

subordination\(k\)-Fibonacci numbersnew class of starlike functions

Mathematics Subject Classification ID

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

Related Items (11)

Some special families of holomorphic and Al-Oboudi type bi-univalent functions related to \(k\)-Fibonacci numbers involving modified sigmoid activation function ⋮ A comprehensive family of biunivalent functions defined by \(k\)-Fibonacci numbers ⋮ Some properties of starlike functions subordinate to \(k\)-Pell-Lucas numbers ⋮ Logarithmic coefficients of starlike functions connected with k-Fibonacci numbers ⋮ Certain subclasses of bi-univalent functions related to k-Fibonacci numbers ⋮ An upper bound for third Hankel determinant of starlike functions connected with \(k\)-Fibonacci numbers ⋮ Initial estimates for certain subclasses of bi-univalent functions with \(\kappa\)-Fibonacci numbers ⋮ On a family of bi-univalent functions related to the Fibonacci numbers ⋮ On a subclass of strongly starlike functions associated with exponential function ⋮ Fekete-Szegö problem for starlike functions connected with \(k\)-Fibonacci numbers ⋮ Fekete-Szegö problem for $q$-starlike functions in connected with $k$-Fibonacci numbers

Cites Work

• Certain results for a class of convex functions related to a shell-like curve connected with Fibonacci numbers
• On \(\alpha \)-convex functions related to shell-like functions connected with Fibonacci numbers
• A certain class of starlike functions
• Conic regions and \(k\)-uniform convexity
• On the Fibonacci \(k\)-numbers
• The \(k\)-Fibonacci sequence and the Pascal 2-triangle
• Uniformly convex functions
• Uniformly Convex Functions and a Corresponding Class of Starlike Functions
• Some extremal problems for certain families of analytic functions I
• Extremal problems for a family of functions with positive real part and for some related families
• On uniformly convex functions
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