The sharp bound for the Hankel determinant of the third kind for convex functions

B Kowalczyk, A Lecko, YJ Sim - Bulletin of the Australian …, 2018 - cambridge.org
THE SHARP BOUND FOR THE HANKEL DETERMINANT OF THE THIRD KIND FOR
CONVEX FUNCTIONS Page 1 Bull. Aust. Math. Soc. 97 (2018), 435–445 doi:10.1017/S0004972717001125 …

On Hankel determinant for some classes of univalent functions

KO Babalola - arxiv preprint arxiv:0910.3779, 2009 - arxiv.org
Focus in this paper is on the Hankel determinant, $ H_3 (1) $, for the well-known classes of
bounded-turning, starlike and convex functions in the open unit disk $ E=\{z\in\mathbb …

Upper bound of the third Hankel determinant for a subclass of q-starlike functions associated with the q-exponential function

HM Srivastava, B Khan, N Khan, M Tahir… - Bulletin des Sciences …, 2021 - Elsevier
By making use of the concept of basic (or q-) calculus, a subclass S⁎(L, q) of q-starlike
functions, which is associated with the q-exponential function, is introduced here in the open …

The bound of the Hankel determinant of the third kind for starlike functions

OS Kwon, A Lecko, YJ Sim - Bulletin of the Malaysian Mathematical …, 2019 - Springer
In the present paper, the estimate of the third Hankel determinant H_ 3, 1 (f) &= a_ 1 &a_ 2
&a_ 3\a_ 2 &a_ 3 &a_ 4\a_ 3 &a_ 4 &a_ 5 H 3, 1 (f)= a 1 a 2 a 3 a 2 a 3 a 4 a 3 a 4 a 5 for the …

Third Hankel determinants for subclasses of univalent functions

P Zaprawa - Mediterranean Journal of Mathematics, 2017 - Springer
The main aim of this paper is to discuss the third Hankel determinants for three classes: S^*
S∗ of starlike functions, KK of convex functions and RR of functions whose derivative has a …

The sharp bound of the Hankel determinant of the third kind for starlike functions of order 1/2

A Lecko, YJ Sim, B Śmiarowska - Complex Analysis and Operator Theory, 2019 - Springer
In the present paper, we proved the sharp inequality| H_ 3, 1 (f)| ≤ 1/9| H 3, 1 (f)|≤ 1/9 for
analytic functions f with a_n:= f^(n)(0)/n!,\n ∈ N,\a_1:= 1, an:= f (n)(0)/n!, n∈ N, a 1:= 1, such …

A study of sharp coefficient bounds for a new subfamily of starlike functions

K Ullah, HM Srivastava, A Rafiq, M Arif… - Journal of Inequalities and …, 2021 - Springer
In this article, by employing the hyperbolic tangent function tanh z, a subfamily S tanh∗
S_\tanh^∗ of starlike functions in the open unit disk D⊂ CD⊂C: D= z: z∈ C and| z|< 1 …

Third Hankel determinant for univalent starlike functions

P Zaprawa, M Obradović, N Tuneski - Revista de la Real Academia de …, 2021 - Springer
In this paper we obtain the bound of the third Hankel determinant H_3 (1)=\left| 1 & a_2&
a_3\a_2 & a_3& a_4\a_3 & a_4& a_5\| H 3 (1)= 1 a 2 a 3 a 2 a 3 a 4 a 3 a 4 a 5 for the class …

An investigation of the third Hankel determinant problem for certain subfamilies of univalent functions involving the exponential function

L Shi, HM Srivastava, M Arif, S Hussain, H Khan - Symmetry, 2019 - mdpi.com
In the current article, we consider certain subfamilies S e∗ and C e of univalent functions
associated with exponential functions which are symmetric along real axis in the region of …

Upper bound of the third Hankel determinant for a class of analytic functions related with lemniscate of Bernoulli

M Raza, SN Malik - Journal of Inequalities and Applications, 2013 - Springer
Upper bound of the third Hankel determinant for a class of analytic functions related with
lemniscate of Bernoulli | Journal of Inequalities and Applications Skip to main content …