Kwon, O.S.; Sim, Y.J. The Sharp Bound of the Hankel Determinant of the Third Kind for Starlike Functions with Real Coefficients. Mathematics2019, 7, 721.
Kwon, O.S.; Sim, Y.J. The Sharp Bound of the Hankel Determinant of the Third Kind for Starlike Functions with Real Coefficients. Mathematics 2019, 7, 721.
Kwon, O.S.; Sim, Y.J. The Sharp Bound of the Hankel Determinant of the Third Kind for Starlike Functions with Real Coefficients. Mathematics2019, 7, 721.
Kwon, O.S.; Sim, Y.J. The Sharp Bound of the Hankel Determinant of the Third Kind for Starlike Functions with Real Coefficients. Mathematics 2019, 7, 721.
Abstract
Let ${\mathcal{SR}}^*$ be the class of starlike functions with real coefficients, i.e., the class of analytic functions $f$ which satisfy the condition $f(0)=0=f'(0)-1$, Re{zf'(z) / f (z)} > 0, for $z\in\mathbb{D}:=\{z\in\mathbb{C}:|z|<1 \}$ and $a_n:=f^{(n)}(0)/n!$ is real for all $n\in\mathbb{N}$. In the present paper, the sharp estimates of the third Hankel determinant $H_{3,1}$ over the class ${\mathcal{SR}}^*$ are computed.
Copyright:
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