The Second Hankel Determinant of Logarithmic Coefficients for Starlike and Convex Functions Associated with Lune
Abstract
In this paper, the sharp bounds on the Hankel determinant $$ H_{2,2}(f):=\left\vert \begin{array}{ll} \gamma _{2} & \gamma _{3} \\ \gamma _{3} & \gamma _{4} \end{array} \right\vert $$ are given for the functions $f$ of the form $f\left( z\right) =z+a_{2}z^{2}+\cdots $ such that $zf^{\prime }\left( z\right) /f\left( z\right) $ or $1+zf^{\prime \prime }\left( z\right) /f^{\prime }\left( z\right) $ are subordinated by $z+\sqrt{1+z^{2}}.$
Fields of Study & Subjects
Analytic and geometric function theory
Mathematical Inequalities and Applications
Holomorphic and Operator Theory
Publication details
- Journal / source
- Journal of Operator Theory and Inequalities
- Volume
- 1
- Issue
- 1
- Pages
- 37–49
- Publication date
- 6 February 2026
- Language
- EN