Hankel Determinants and Coefficient Estimates for Starlike Functions Related to Symmetric Booth Lemniscate

In this paper, we find Hankel determinants and coefficient bounds for a subclass of starlike functions related to Booth lemniscate. In particular, we obtain the first four sharp coefficient bounds, Hankel determinants of order two and three, and Zalcman conjecture for this class of functions.

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Bibliographic Details
Published inSymmetry (Basel) Vol. 14; no. 7; p. 1366
Main Authors Raza, Mohsan, Riaz, Amina, Xin, Qin, Malik, Sarfraz Nawaz
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.07.2022
Subjects
analytic functions
booth lemniscate
Coefficients
Convex analysis
Hankel determinants
Inequality
starlike functions
Zalcman conjecture
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Summary:In this paper, we find Hankel determinants and coefficient bounds for a subclass of starlike functions related to Booth lemniscate. In particular, we obtain the first four sharp coefficient bounds, Hankel determinants of order two and three, and Zalcman conjecture for this class of functions.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym14071366