Hankel determinants of order four for a set of functions with bounded turning of order α

Hankel determinant for certain new classes of analytic functions associated the activation functions

“…On some recently obtained sharp bounds of third Hankel determinant for the Ma-Minda class, we list them in Table 1 for references. For bounds of this determinant on other classes of univalent functions, we refer to [18] , [19] , [20] , [21] .…”

Toeplitz Determinants for the Class of Functions with Bounded Turning

“…Goel and Mehrok [8], Macgregor [9], and Silverman and Silvia [17] were among the first researchers to study the classes R, R (δ), and R (α). Recently, the investigation into the class of bounded turning functions and coefficient problems such as the Hankel determinant for the higher order has been extensively studied by other researchers, see for example [3,4]. We may point interested readers to recent advances in the class of bounded turning functions connected to a three-leaf-shaped domain and Bernoulli's lemniscate as well as their coefficient problems like the Hankel determinant, logarithmic coefficients, and the Hankel determinant with logarithmic coefficients, which point in a different direction than the current study, see [16,23].…”