Second Hankel determinant of logarithmic coefficients of convex and starlike functions of order alpha

DOI10.1007/s40840-021-01217-5zbMath1486.30040OpenAlexW4200465713MaRDI QIDQ2117567

Adam Lecko, Bogumiła Kowalczyk

Publication date: 21 March 2022

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/s40840-021-01217-5

zbMATH Keywords

Hankel determinantconvex functionscoefficient estimatesstar-like functions

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 (7)

Sharp bounds of Hankel determinant for the inverse functions on a subclass of bounded turning 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 ⋮ On the second Hankel determinant of logarithmic coefficients for certain univalent 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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A general approach to the Fekete-Szegö problem
• Coefficient estimates of analytic endomorphisms of the unit disk fixing a point with applications to concave functions
• Logarithmic coefficients for certain subclasses of close-to-convex functions
• The sharp bound of the third Hankel determinant for functions of bounded turning
• 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

This page was built for publication: Second Hankel determinant of logarithmic coefficients of convex and starlike functions of order alpha