Bounds on third Hankel determinant for certain classes of analytic functions

Abstract

Abstract. In this paper, the estimate for the third Hankel determinant H3,1(f ) of Taylor coefficients of function f (z) = z +

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

“…. Other researchers like Vamshee Krishna et al [28], Patil and Khairnar [29], Prajapat et al [30], Yalcin and Altinkaya [31], Cho et al [32], Lecko et al [33]. Kowalczyk et al [34], Mohd Narzan et al [35], Several other researchers like Mendiratta et al [36], Haiyan Zhang et al [37], khan et al [38], and Senguttuvan et al [39] defined A thorough sub-class of analytic functions with respect to the symmetrical point that has been developed.…”

Improved Upper Bounds of the Third-Order Hankel Determinant for Ozaki Close-to-Convex Functions

“…Using H k,n ( f ) where k, n ∈ N = {1, 2, • • •}, we denote the Hankel determinant of functions f ∈ A of the form (1), which is defined by Several researchers, including Pommerenke [1,2], Hayman [3], Noonan and Thomas [4], and Ehrenborg [5], have studied the Hankel determinant H k,n ( f ) and presented some remarkable results, which are useful, for example, in showing that a function of bounded characteristic in U . In particular, many results [6][7][8] are known concerning the second Hankel determinant H 2,1 and H 2,2 when f ∈ S. In many recent papers [9][10][11][12][13][14][15][16][17][18], the third Hankel determinant…”

Third Hankel Determinant for A Class of Functions with Respect to Symmetric Points Associated with Exponential Function

“…Babalola [4] was the first person to study the upper bound of H 3 (1) for subclasses of S. Interested readers can see the work carried by several researchers like Vamshee Krishna et al ( [45], [46]), Prajapat et al ( [32], [33]),Altinkaya and Yalcin [3],Cho et al [8], lecko et al [19], Kowalczyk et al [17],Mohd Narzan et al [27]. Mendiratta et al [26] introduced and studied the class of starlike functions S * e = S * (e z ) defined by…”