Second Hankel determinant for a certain subclass of bi-close to convex functions defined by Kaplan

S. Kanas; V. Sivasankari; O. Karthiyayini; S. Sivasubramanian

Second Hankel determinant for a certain subclass of bi-close to convex functions defined by Kaplan

Complex Variables 2021-03-30 v2

Authors: S. Kanas , V. Sivasankari , O. Karthiyayini , S. Sivasubramanian

Abstract

In this paper, we consider the class of strongly bi-close-to-convex functions of order $\alpha$ and bi-close-to-convex functions of order $\beta$ . We obtain an upper bound estimate for the second Hankel determinant for functions belonging to these classes. The results in this article improve some earlier result obtained for the class of bi-convex functions.

Keywords

bi-close-to-convex functions second Hankel determinant strongly bi-close-to-convex functions bi-convex functions univalent function theory upper bound estimate Kaplan definition

Cite

@article{arxiv.1509.03751,
  title  = {Second Hankel determinant for a certain subclass of bi-close to convex functions defined by Kaplan},
  author = {S. Kanas and V. Sivasankari and O. Karthiyayini and S. Sivasubramanian},
  journal= {arXiv preprint arXiv:1509.03751},
  year   = {2021}
}

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