On the third logarithmic coefficient in some subclasses of close-to-convex functions

DOI10.1007/s13398-020-00786-7zbMath1435.30042OpenAlexW2999080214MaRDI QIDQ2293213

Young Jae Sim, Adam Lecko, Bogumiła Kowalczyk, Nak Eun Cho, Oh Sang Kwon

Publication date: 7 February 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-020-00786-7

zbMATH Keywords

close-to-convex functionscoefficient estimatesstar-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 (17)

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 ⋮ On the coefficients of \(\mathcal{B}_1(\alpha)\) Bazilevič functions ⋮ Unnamed Item ⋮ Univalent Functions Associated with the Symmetric Points and Cardioid-shaped Domain Involving (p,q)-calculus ⋮ 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 ⋮ Second Hankel determinant of logarithmic coefficients of convex and starlike functions of order alpha

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