Hankel determinants for starlike and convex functions associated with sigmoid functions

A Riaz, M Raza, DK Thomas - Forum Mathematicum, 2022 - degruyter.com
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Toeplitz determinants associated with Ma-Minda classes of starlike and convex functions

OP Ahuja, K Khatter, V Ravichandran - Iranian Journal of Science and …, 2021 - Springer
A starlike function f is characterized by the quantity zf'(z)/f (z) zf′(z)/f (z) lying in the right half-
plane. This paper deals with sharp bounds for certain Toeplitz determinants whose entries …

Investigation of the Hankel Determinant Sharp Bounds for a Specific Analytic Function Linked to a Cardioid-Shaped Domain

I Al-Shbeil, MI Faisal, M Arif, M Abbas, RK Alhefthi - Mathematics, 2023 - mdpi.com
One of the challenging tasks in the study of function theory is how to obtain sharp estimates
of coefficients that appear in the Taylor–Maclaurin series of analytic univalent functions, and …

Sharp bounds on Hermitian Toeplitz determinants for Sakaguchi classes

Y Sun, ZG Wang - Bulletin of the Malaysian Mathematical Sciences …, 2023 - Springer
Sharp Bounds on Hermitian Toeplitz Determinants for Sakaguchi Classes | SpringerLink
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Starlike functions associated with and Bernardi integral operator.

P Rai, A Çetinkaya, S Kumar - Mathematical Foundations of …, 2023 - search.ebscohost.com
We determine the necessary and sufficient convolution conditions for the starlike functions
on the open unit disk and related to some geometric aspects of the function $\tanh z $. We …

Fekete-Szegö type functionals associated with certain subclasses of bi-univalent functions

I Ahmad, SGA Shah, S Hussain, S Noor - Heliyon, 2024 - cell.com
In this article, we define and discuss some new subclasses of bi-univalent functions
associated with Fibonacci numbers and shell-like curves. We estimate the first two Taylor …

Hermitian–Toeplitz determinants for certain univalent functions

S Giri, SS Kumar - Analysis and Mathematical Physics, 2023 - Springer
Hermitian–Toeplitz determinants for certain univalent functions | Analysis and Mathematical
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Some properties of certain close-to-convex harmonic mappings

XY Wang, ZG Wang, JH Fan, ZY Hu - Analysis and Mathematical Physics, 2022 - Springer
In this paper, we determine the sharp estimates for Toeplitz determinants of a subclass of
close-to-convex harmonic mappings. Moreover, we obtain an improved version of Bohr's …

Sharp bounds of third Hankel determinant for a class of starlike functions and a subclass of -starlike functions

S Banga, SS Kumar - arXiv preprint arXiv:2201.05808, 2022 - arxiv.org
Following the trend of coefficient bound problems in Geometric Function Theory, in the
present paper, we obtain the sharp bound of $| H_3 (1)| $ for the class $\mathcal {S}^* $, of …

[PDF][PDF] Fekete-Szegö inequality for Sakaguchi type of functions in petal shaped domain

EK Nithiyanandham, BS Keerthi - Aust. J. Math. Anal. Appl., 2022 - ajmaa.org
Fekete-Szego inequality for Sakaguchi type of functions in Petal shaped domain Page 1 Aust.
J. Math. Anal. Appl. Vol. 19 (2022), No. 2, Art. 3, 8 pp. AJMAA FEKETE-SZEGÖ INEQUALITY …