Improved bound of the fourth hankel determinant for a class of analytic functions with bounded turnings involving cardioid domain |
Received:January 01, 2024 Revised:January 10, 2024 |
Key Words:
analytic function starlike functions convex functions Schwarz function cardioid domain Hankel determinant
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Fund Project:the Natural Science Foundation of Anhui Provincial Department of Education (Grant Nos. KJ2020A0993; KJ2020ZD74), the high-level talent research start-up project(Grant No. DC2300000286). |
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Abstract: |
In the paper, a class of functions with bounded turnings involving cardioid domain,
is studied in the region of the unit disc. The bounds of |a5|, |a6|, |a7| and the fourth hankel
determinant are obtained, which are more accurate that those obtained by Srivastava. |
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