The Sharp Bound of the Third Hankel Determinant for Certain Subfamilies of Analytic Functions

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发表日期：

2024年11月30日

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Biswajit Rath,
K. Sanjay Kumar,
D. Vamshee Krishna,
G. K. Surya Viswanadh

摘要

We study an upper bound and the sharp bound of the third-order Hankel determinant for some subfamilies of analytic functions for the parameters α ∈ (1, 4/3] and α = 3/2, respectively, and also prove a recent conjecture for the sharp bounds made in [V. Kumar, S. Kumar, and V. Ravichandran, Mathematical Analysis I: Approximation Theory, 306, Springer, Singapore (2020), pp. 223–231; DOI: 10.1007/978-981-15-1153-0_19].