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arXiv · 1208.0150

Second-order differential subordinations for analytic functions with fixed initial coefficient

Rosihan M. Ali·Sumit Nagpal·V. Ravichandran
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Abstract

Functions with fixed initial coefficient have been widely studied. A new methodology is proposed in this paper by making appropriate modifications and improvements to the theory of second-order differential subordination. Several interesting examples are given. The results obtained are applied to the classes of convex and starlike functions with fixed second coefficient.

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Rosihan M. Ali, Sumit Nagpal, V. Ravichandran. 2012-08-01. Second-order differential subordinations for analytic functions with fixed initial coefficient. https://arxiv.org/abs/1208.0150

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