SECOND HANKEL DETERMINANT OF LOGARITHMIC COEFFICIENTS OF CONVEX AND STARLIKE FUNCTIONS

DOI10.1017/S0004972721000836zbMath1492.30040OpenAlexW3202002893MaRDI QIDQ5076488

Bogumiła Kowalczyk, Adam Lecko

Publication date: 17 May 2022

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972721000836

zbMATH Keywords

Hankel determinantconvex functionsstar-like functionslogarithmic coefficients

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 (8)

Sharp bounds of Hankel determinant for the inverse functions on a subclass of bounded turning functions ⋮ The second Hankel determinant of the logarithmic coefficients of strongly starlike and strongly convex functions ⋮ Sharp bounds of logarithmic coefficient problems for functions with respect to symmetric points ⋮ The second Hankel determinant of logarithmic coefficients for strongly Ozaki close-to-convex functions ⋮ Coefficient problems for certain close-to-convex functions ⋮ Hermitian-Toeplitz determinants and some coefficient functionals for the starlike functions. ⋮ The sharp upper bounds of the Hankel determinant on logarithmic coefficients for certain analytic functions connected with eight-shaped domains ⋮ The second Hankel determinant of logarithmic coefficients for starlike and convex functions involving four-leaf-shaped domain

Cites Work

• A general approach to the Fekete-Szegö problem
• Logarithmic coefficients for certain subclasses of close-to-convex functions
• On the third logarithmic coefficient in some subclasses of close-to-convex functions
• On the logarithmic coefficients of close to convex functions
• On logarithmic coefficients of some close-to-convex functions
• Early Coefficients of the Inverse of a Regular Convex Function
• Coefficient Bounds for the Inverse of a Function with Derivative in P
• THE SHARP BOUND FOR THE HANKEL DETERMINANT OF THE THIRD KIND FOR CONVEX FUNCTIONS
• 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
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