Coefficient problems for certain close-to-convex functions

M Mundalia, SS Kumar - Bulletin of the Iranian Mathematical Society, 2023 - Springer
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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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[PDF][PDF] Sharp estimates on the third order Hermitian-Toeplitz determinant for Sakaguchi classes

S Kumar, V Kumar - Commun. Korean Math. Soc., 2022 - researchgate.net
In this paper, sharp lower and upper bounds on the third order Hermitian-Toeplitz
determinant for the classes of Sakaguchi functions and some of its subclasses related to …

Hermitian–Toeplitz determinants for certain univalent functions

S Giri, SS Kumar - Analysis and Mathematical Physics, 2023 - Springer
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Hermitian-Toeplitz determinants for functions with bounded turning

V Kumar, NE Cho - Turkish Journal of Mathematics, 2021 - journals.tubitak.gov.tr
There is a rich literature on estimation of second and third Hankel determinants for
normalised analytic functions in geometric function theory. It is also, therefore, natural to …

Coefficient functionals for starlike functions of reciprocal order

V Kumar, S Kumar, NE Cho - Thai Journal of Mathematics, 2022 - thaijmath2.in.cmu.ac.th
Several properties of the class $\mathcal {S}^* _ {r}(\alpha) $ of starlike functions of
reciprocal order $\alpha\,(0\leq\alpha< 1) $ defined on the open unit disk have been studied …

Hermitian-Toeplitz determinants and some coefficient functionals for the starlike functions

D Kumar, V Kumar, L Das - Applications of Mathematics, 2023 - Springer
In this paper, we have determined the sharp lower and upper bounds on the fourth-order
Hermitian-Toeplitz determinant for starlike functions with real coefficients. We also obtained …

Moduli difference of successive inverse coefficients for certain classes of close-to-convex functions

V Kumar - Ricerche di Matematica, 2024 - Springer
In this paper, we answer the questions raised in the paper [On the difference of inverse
coefficients of univalent functions, Symmetry, 2020, 12 (12), art. 2040, 14pp] by Sim and …

[PDF][PDF] SHARP BOUNDS ON THE FOURTH–ORDER HERMITIAN TOEPLITZ DETERMINANT FOR STARLIKE FUNCTIONS OF ORDER 1/2

Y SUN, ZHIG WANG, HUO TANG - Journal of Mathematical …, 2023 - files.ele-math.com
Sharp bounds on the fourth-order Hermitian Toeplitz determinant for starlike functions of order
1/2 Page 1 Journal of Mathematical Inequalities Volume 17, Number 3 (2023), 985–996 …

[PDF][PDF] Estimate for Schwarzian derivative of certain close-to-convex functions

Z Hu, X Wang, J Fan - AIMS Math, 2021 - aimspress.com
Let f (z) be analytic in the unit disk with f (0)= f (0)− 1= 0. For the following closeto-convex
subclasses:{(1− z) f (z)}> 0,{(1− z2) f (z)}> 0,{(1− z+ z2) f (z)}> 0 and {(1− z) 2 f (z)}> 0, we …