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arXiv · 1708.00162

Geometric properties of Cesaro averaging operators

Priyanka Sangal·A. Swaminathan
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Abstract

In this paper, using positivity of trigonometric cosine and sine sums whose coefficients are generalization of Vietoris numbers, we find the conditions on the coefficient $\{a_k\}$ to characterize the geometric properties of the corresponding analytic function $f(z)=z+\displaystyle\sum_{k=2}^{\infty} a_kz^k$ in the unit disc $\mathbb{D}$. As an application we also find geometric properties of a generalized Cesàro type polynomials.

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Priyanka Sangal, A. Swaminathan. 2017-08-01. Geometric properties of Cesaro averaging operators. https://doi.org/10.1155/2017%2F6584584

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