In this paper, we focus on the sharp upper bounds for specific second-order Hankel determinants pertaining to the inverse function, denoted as f−1. Our investigation is centered on scenarios where f is a member of the class of convex functions with respect to symmetric points. By delving into this particular class, we aim to uncover and establish sharp bounds for these second Hankel determinants, providing valuable insights to extremal functions within this context.
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Ch. Vijaya Kumar
GITAM University
Biswajit Rath
GITAM University
K. Sanjay Kumar
Marwadi University
Boletim da Sociedade Paranaense de Matemática
GITAM University
North Eastern Hill University
Marwadi University
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Kumar et al. (Wed,) studied this question.
synapsesocial.com/papers/68af5f13ad7bf08b1eae1e52 — DOI: https://doi.org/10.5269/bspm.64878