Abstract
In this present paper, we use the combination of differential operators \(f'(z)\) and \( 1+{zf''(z)}/{f'(z)}\) to establish some sufficient criterion for lemniscate starlike and close-to-convex holomorphic (analytic) mappings. The geometrical view point of our main results is also given. Some motivational consequences of our main theorems are also observed.
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Acknowledgements
The authors would like to acknowldge worthy Vice Chancellor AUST Prof. Dr. Tahir Irfan Khan for providing research facilities in the department.
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Haq, W.U., Bibi, M. Implication type properties for lemniscate starlike and close-to-convex mappings. Anal.Math.Phys. 12, 135 (2022). https://doi.org/10.1007/s13324-022-00751-0
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DOI: https://doi.org/10.1007/s13324-022-00751-0