Hankel Determinant for starlike and convex functions.

By S. A. Halim. 2007

283 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/935b73e9efb0b20edd8702bddded9e67e032309b

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Citations in the corpus

Bounds for the second Hankel determinant of certain bi-univalent functions (2015, background): “Fekete-Szego¨ problem for the classes S∗ and K. Recently, several authors have investigated upper bounds for the Hankel determinant of functions belonging to various subclasses of univalent functions [1, 6, 13, 15, 17, 18] and the references therein. On the other hand, Zaprawa [28, 29] extended the ”
A Study of Third Hankel Determinant Problem for Certain Subfamilies of Analytic Functions Involving Cardioid Domain (2019, background): “Specifically, the absolute sharp bounds of the functional H2,2 ( f ) = a2a4 − a(2)3 were found in [18,19] for each of the families C, S∗ and R, where the family R contains functions of bounded turning.”
The sharp bounds of the second and third Hankel determinants for the class 𝓢𝓛* (2019, background): “Recently, many authors have estimated the bound of |H2(2)| (see [3, 7–9, 16]).”
Coefficient inequality for certain classes of analytic functions (2016, background): “These authors [7] also obtained the second Hankel determinant and sharp bounds for the familiar subclasses of S, namely, starlike and convex functions denoted by ST and CV and shown that |a2a4 − a3| ≤ 1 and |a2a4 − a3| ≤ 18 respectively.”
Second Hankel determinant for certain subclasses ofbi-univalent functions (2017, background): “The bounds for the second Hankel determinant H2(2) were obtained for the classes of starlike and convex functions in [15].”
SHARP BOUNDS OF SOME COEFFICIENT FUNCTIONALS OVER THE CLASS OF FUNCTIONS CONVEX IN THE DIRECTION OF THE IMAGINARY AXIS (2019, unknown): “Many authors have examined the second Hankel determinant H 2 , 2 ( f ) = a 2 a 4 − a 23 (see, for example, [2, 4, 5, 10, 11, 17, 21]).”
Hankel and Toeplitz Determinants for a Subclass of q-Starlike Functions Associated with a General Conic Domain (2019, unknown): “It is also known that the functional ∣∣a2a4 − a23∣∣ is equivalent to H2 (2) (see [18]).”
Second Hankel determinant for close-to-convex functions (2017, background): “The majority of the results were obtained for H ( 2 ) = a a − a 32 , which is called the second Hankel determinant (see, for example, [1], [7], [8], [13], [22], [23]) There are, however, few papers that discuss the third Hankel determinant H ( 1 ) (see, for example: [2], [21], [24]) Although many…”