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arXiv · 2007.02869

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

Om. P. Ahuja·Kanika Khatter·V. Ravichandran
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Abstract

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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Om. P. Ahuja, Kanika Khatter, V. Ravichandran. 2020-07-06. Toeplitz determinants associated with Ma-Minda classes of starlike and convex functions. https://arxiv.org/abs/2007.02869

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