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Best Bounds for the Second Hankel Determinant of the kth-Root Transform of Analytic Functions
Conference proceeding   Peer reviewed

Best Bounds for the Second Hankel Determinant of the kth-Root Transform of Analytic Functions

Najla M. Al-Areefi and Maisarah Haji Mohd
22ND NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM22), Vol.1682(1)
AIP Conference Proceedings
01/01/2015

Abstract

Mathematics Physical Sciences Physics Physics, Mathematical Science & Technology
L f be a normalized analytic tUnction in the open unit disk of the complex plane satisfying 1+ z f "(z)I '(z) is subordinate to a given analytic function. For this function, the best bound is obtained for the second Hankel determinant of the kth-root transform z[f(z(k))/z(k)](1/k). Connections are also made to earlier known results.

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