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Growth, Distortion, and Schwarzian Norm Estimates for Exponentially Convex Functions

Ahamed, Molla Basir et al.
arXiv (All) · Papers
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30c4530c55complex-variablesprimarysecondary
In this paper, we investigate the growth, distortion, pre-Schwarzian and Schwarzian norms of functions in the exponentially convex class \(\mathcal C_{e^λ}\), \(0<λ\leπ/2\), defined by \(1+zf''(z)/f'(z)\prec e^{λz}\). By representing the associated Schwarz function explicitly, we derive parameter-de
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