Improved Upper Bounds of the Third-Order Hankel Determinant for Ozaki Close-to-Convex Functions

LetN be the class of functions that convex in one direction and M denote the class of functions zf′(z), where f∈N. In the paper, the third-order Hankel determinants for these classes are estimated. The estimates of H3,1(f) obtained in the paper are improved.

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Bibliographic Details
Published inSymmetry (Basel) Vol. 15; no. 6; p. 1176
Main Authors Guo, Dong, Tang, Huo, Zhang, Jun, Li, Zongtao, Xu, Qingbing, Ao, En
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.06.2023
Subjects
close-to-convex functions
Convex analysis
Hankel determinant
Inequality
Schwarz functions
Upper bounds
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Summary:LetN be the class of functions that convex in one direction and M denote the class of functions zf′(z), where f∈N. In the paper, the third-order Hankel determinants for these classes are estimated. The estimates of H3,1(f) obtained in the paper are improved.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym15061176