An upper bound to the second Hankel determinant for a new class of univalent functions

Abstract

In this paper, we introduce and investigate a newly-constructed class of univalent functions in the open disk. For this function class, we obtain upper bounds for the second Hankel determinant [Formula: see text].

A Subclass of Univalent Functions Defined by Ruscheweyh Operator

“…Lee et al [14] presented a concise overview of the Hankel determinants for analytic univalent functions and obtained bounds for H 2 (2) for functions belonging to some classes defined by subordination. The estimation of |H 2 (2)| has been the focus of recent Hankel determinant papers (see, for example, [4,9,21,23]).…”

Coefficient Inequalities for Certain Subclass of Starlike Function with respect to Symmetric points related to q-exponential Function

“…Now for k = 2,c = 2 it can be obtained as, (2) a a H a a = , In 2012, Krishna and Ramreddy [14] introduced the 2nd Hankel determinant of means the univalent function, which is discussed here. Using a indeed close p, valent function the growth rate of the 2nd Hankel determinant was calculated by Shrigan [15] in 2022. Other researchers like Janteng et al [16,17], Bansal [18], Lee et al [19], Lei et al [20], Rain et al [21], Rajya et al [22], Zaprawa [23] introduced the coefficient of the function 𝑓𝑓 that belong to the sub-class S of univalent function or to its subclasses the upper-bound of the Hankel determinant for 𝑘𝑘 .…”