A sharp inequality for the logarithmic coefficients of univalent functions

DOI10.1090/S0002-9939-07-08660-1zbMath1110.30012MaRDI QIDQ3432762

Oliver Roth

Publication date: 18 April 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

univalent functionslogarithmic coefficientsde Branges' weight functions

Mathematics Subject Classification ID

Coefficient problems for univalent and multivalent functions of one complex variable (30C50) Inequalities in the complex plane (30A10)

Related Items (13)

Univalence of quotient of analytic functions ⋮ Sharp coefficients bounds for starlike functions associated with Gregory coefficients ⋮ On logarithmic coefficients for classes of analytic functions associated with convex functions ⋮ LOGARITHMIC COEFFICIENTS PROBLEMS IN FAMILIES RELATED TO STARLIKE AND CONVEX FUNCTIONS ⋮ Unnamed Item ⋮ LOGARITHMIC COEFFICIENTS OF SOME CLOSE-TO-CONVEX FUNCTIONS ⋮ Sharp inequalities for logarithmic coefficients and their applications ⋮ Unnamed Item ⋮ Logarithmic coefficients for certain subclasses of close-to-convex functions ⋮ Bohr phenomenon for locally univalent functions and logarithmic power series ⋮ 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 ⋮ On logarithmic coefficients of certain starlike functions related to the vertical strip

Cites Work

• Unnamed Item
• Unnamed Item
• A proof of the Bieberbach conjecture
• Logarithmic coefficients of univalent functions
• The de Branges Theorem on Univalent Functions
• Semi-convex hulls of analytic functions in the unit disk

This page was built for publication: A sharp inequality for the logarithmic coefficients of univalent functions