On logarithmic coefficients of some close-to-convex functions

DOI10.1090/proc/13817zbMath1385.30008arXiv1606.05162OpenAlexW2963054110MaRDI QIDQ3130834

Md Firoz Ali, Allu Vasudevarao

Publication date: 29 January 2018

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

Full work available at URL: https://arxiv.org/abs/1606.05162

zbMATH Keywords

analytic functionKoebe functionclose-to-convex functioncoefficient estimatestar-like functionlogarithmic coefficient

Mathematics Subject Classification ID

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

Related Items (23)

Hermitian-Toeplitz determinants for certain classes of close-to-convex functions ⋮ SECOND HANKEL DETERMINANT OF LOGARITHMIC COEFFICIENTS OF CONVEX AND STARLIKE FUNCTIONS ⋮ Estimate for Schwarzian derivative of certain close-to-convex functions ⋮ The third logarithmic coefficient for the class S ⋮ The second Hankel determinant of the logarithmic coefficients of strongly starlike and strongly convex functions ⋮ 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 ⋮ Solution of logarithmic coefficients conjectures for some classes of convex functions ⋮ Coefficient problems for certain close-to-convex functions ⋮ Sharp bounds on the third Hankel determinant for the Ozaki close-to-convex and convex functions ⋮ The Zalcman conjecture for certain analytic and univalent functions ⋮ On logarithmic coefficients for classes of analytic functions associated with convex functions ⋮ LOGARITHMIC COEFFICIENTS OF SOME CLOSE-TO-CONVEX FUNCTIONS ⋮ Univalent Functions Associated with the Symmetric Points and Cardioid-shaped Domain Involving (p,q)-calculus ⋮ Logarithmic coefficients for certain subclasses of close-to-convex functions ⋮ On the third logarithmic coefficient in some subclasses of close-to-convex functions ⋮ Logarithmic coefficients for classes related to convex functions ⋮ Sharp bounds of the Hermitian Toeplitz determinants for some classes of close-to-convex functions ⋮ Logarithmic coefficient bounds and coefficient conjectures for classes associated with convex functions ⋮ Coefficient functionals for non-Bazilevič functions ⋮ Coefficient problems in the subclasses of close-to-star functions ⋮ Certain estimates of normalized analytic functions ⋮ Second Hankel determinant of logarithmic coefficients of convex and starlike functions of order alpha

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A proof of the Bieberbach conjecture
• Logarithmic coefficients of univalent functions
• The Fekete-Szegö problem for close-to-convex functions with respect to the Koebe function
• On schlicht mappings to domains convex in one direction
• On the logarithmic coefficients of close to convex functions
• Linearization models for parabolic dynamical systems via Abel's functional equation
• On the Fekete-Szego Problem for Close-to-Convex Functions
• Early Coefficients of the Inverse of a Regular Convex Function

This page was built for publication: On logarithmic coefficients of some close-to-convex functions