THIRD ORDER HANKEL DETERMINANT FOR CERTAIN UNIVALENT FUNCTIONS Article Swipe
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Deepak Bansal
,
Sudhananda Maharana
,
Jugal K. Prajapat
·
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.4134/jkms.2015.52.6.1139
· OA: W2339606488
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.4134/jkms.2015.52.6.1139
· OA: W2339606488
The estimate of third Hankel determinant <TEX>$$H_{3,1}(f)=\left|a_1\;a_2\;a_3\\a_2\;a_3\;a_4\\a_3\;a_4\;a_5\right|$$</TEX> of the analytic function <TEX>$f(z)=z+a2z^2+a3z^3+{\cdots}$</TEX>, for which <TEX>${\Re}(1+zf^{{\prime}{\prime}}(z)/f^{</TEX><TEX>\prime}(z))</TEX><TEX>></TEX><TEX>-1/2$</TEX> are investigated. The corrected version of a known results [2, Theorem 3.1 and Theorem 3.3] are also obtained.
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