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

2020/07/06 by Om P. Ahuja, Ahuja, Om. P., Kanika Khatter +3
Mathematics · #30C45 #30C80 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2007.02869

openalex publication_date 2020/07/06 · openalex created_date 2021/06/22 · openalex updated_date 2026/07/28

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.

Citations

• TOEPLITZ DETERMINANTS WHOSE ELEMENTS ARE THE COEFFICIENTS OF ANALYTIC AND UNIVALENT FUNCTIONS

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