Coefficient problems in the subclasses of close-to-star functions

DOI10.1007/s00025-019-1030-yzbMath1421.30023OpenAlexW2944620497WikidataQ127926481 ScholiaQ127926481MaRDI QIDQ2311949

Young Jae Sim, Adam Lecko

Publication date: 4 July 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-019-1030-y

zbMATH Keywords

Hankel determinantlogarithmic coefficientsclose-to-star functionsZalcman functional

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

On a subfamily of starlike functions related to hyperbolic cosine function ⋮ Starlikeness of certain non-univalent functions ⋮ Radius of starlikeness of certain analytic functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized Zalcman conjecture for some classes of analytic functions
• On close-to-convex univalent functions
• Second Hankel determinant for a class of analytic functions defined by fractional derivative
• Linearization models for complex dynamical systems. Topics in univalent functions, functional equations and semigroup theory.
• Generalized Zalcman conjecture for starlike and typically real functions
• The bounds of some determinants for starlike functions of order alpha
• Logarithmic coefficients for certain subclasses of close-to-convex functions
• Bounds for the second Hankel determinant of certain univalent functions
• Radii of starlikeness of certain classes of analytic functions
• Close-to-convex schlicht functions
• On the logarithmic coefficients of close to convex functions
• On logarithmic coefficients of some close-to-convex functions
• On the class of functions convex in the negative direction of the imaginary axis
• Early Coefficients of the Inverse of a Regular Convex Function
• Coefficient Bounds for the Inverse of a Function with Derivative in P
• On certain classes of quasi–typically–real functions
• THE SHARP BOUND FOR THE HANKEL DETERMINANT OF THE THIRD KIND FOR CONVEX FUNCTIONS
• The bounds of some determinants for functions of bounded turning of order alpha
• SHARP BOUNDS OF SOME COEFFICIENT FUNCTIONALS OVER THE CLASS OF FUNCTIONS CONVEX IN THE DIRECTION OF THE IMAGINARY AXIS
• Some coefficient inequalities related to the Hankel determinant for strongly starlike functions of order alpha
• The radius of univalence of certain analytic functions