Certain subclasses of Analytic Functions with Fixed Second Coefficient

Sushil Kumar; Swati Anand; Naveen Kumar Jain

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arXiv · 2203.08704

Certain subclasses of Analytic Functions with Fixed Second Coefficient

Sushil Kumar·Swati Anand·Naveen Kumar Jain

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Abstract

This paper aims to pursue some classes of normalized analytic functions $f$ with fixed second coefficient defined on open unit disk, such that ${(1+z)^2f(z)}/{z}$ and ${(1+z)f(z)}/{z}$ are functions having positive real part. The radius of strongly starlikeness, the radius of lemniscate starlikeness, the radius of parabolic starlikeness and other starlikeness estimates are calculated for such functions. As well relevant connections of computed radii estimates with the existing one are also shown.

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Sushil Kumar, Swati Anand, Naveen Kumar Jain. 2022-03-16. Certain subclasses of Analytic Functions with Fixed Second Coefficient. https://arxiv.org/abs/2203.08704

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