A Study of Third Hankel Determinant Problem for Certain Subfamilies of Analytic Functions Involving Cardioid Domain

By Lei Shi, Izaz Ali, Muhammad Arif, Nak Eun Cho, Shehzad Hussain, Hassan Khan. Mathematics, 2019

49 citations recorded by the source corpus.

In the present article, we consider certain subfamilies of analytic functions connected with the cardioid domain in the region of the unit disk. The purpose of this article is to investigate the estimates of the third Hankel determinant for these families. Further, the same bounds have been investigated for two-fold and three-fold symmetric functions.

Subfields: Applied Mathematics, Geometry and Topology, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/49e3ef836bd847e000f69ec86002a24efbbd2678

Citations in the corpus

• Starlikness Associated with Cosine Hyperbolic Function (2020, unknown): “The function ∆(z) = 1 + (4)3 z + (2)3 z2 maps D into the image set bounded by the cardioid (y2 + x2 − 2x + 5 9 )2 − 16(y2 + x2 − 2 3 x + 1 9 ) = 0, which was examined in [9] and further studied in [10].”