论文标题

与Ma-Minda类相关的Starlike和凸功能相关的Toeplitz决定因素

Toeplitz determinants associated with Ma-Minda classes of starlike and convex functions

论文作者

Ahuja, Om. P., Khatter, Kanika, Ravichandran, V.

论文摘要

恒星函数$ f $的特征是数量$ zf'(z)/f(z)$位于右半平面。本文针对某些对称的toeplitz决定因素的尖锐界限,其条目是函数的系数$ f $的数量$ zf'(z)/f(z)$,在右半平面中以某些特定子集中的值为值。获得的结果包括几个新的特殊情况和一些已知结果。

A starlike function $f$ is characterized by the quantity $zf'(z)/f(z)$ lying in the right half-plane. This paper deals with sharp bounds for certain symmetric Toeplitz determinants whose entries are the coefficients of the functions $f$ for which the quantity $zf'(z)/f(z)$ takes values in certain specific subset in the right half-plane. The results obtained include several new special cases and some known results.

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