The second and third Hankel determinants for starlike and convex functions associated with Three-Leaf function [PDF]
Heliyon, 2023 In this paper, we give sharp bounds of the Hankel determinant H2(3)(f) for the coefficients of functions in the class of starlike functions related to a domain that is like three leaves.
Amina Riaz +3 more
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Analytic determinants and inverses of Toeplitz and Hankel tridiagonal matrices with perturbed columns [PDF]
Special Matrices, 2020 In this paper, our main attention is paid to calculate the determinants and inverses of two types Toeplitz and Hankel tridiagonal matrices with perturbed columns.
Fu Yaru +3 more
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Hankel determinant for certain new classes of analytic functions associated the activation functions [PDF]
Heliyon, 2023 In this article, we introduce two new classes of analytic functions Jtanh and JSG which are associated with the activation functions and defined by the ratio of analytic representations of convex and starlike functions.
YueJuan Sun +4 more
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Certain inequalities related with Hankel and Toeplitz determinant for q-starlike functions [PDF]
HeliyonIn the present article, we prove the sharp upper bounds for the second order Hankel determinants |H2(1)|,|H2(2)| and related functionals |a2a3−a4|, |a2a5−a3a4| for q-starlike functions.
Ihtesham Gul +3 more
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Boundary values of Hankel and Toeplitz determinants for q-convex functions [PDF]
MethodsXThe study of holomorphic functions has been recently extended through the application of diverse techniques, among which quantum calculus stands out due to its wide-ranging applications across various scientific disciplines. In this context, we introduce
Sarem H. Hadi +5 more
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Third-order Hankel determinant sharp estimates for the inverse of complex valued holomorphic functions [PDF]
HeliyonDetermining coefficient estimates of inverse complex valued function is often more challenging than determining the function itself, leading to a lack of articles on inverse functions by examining sharp estimates of the third-order Hankel determinant ...
Muhammad Abbas +3 more
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Estimation of Hankel inequalities of symmetric starlike functions in crescent-shaped domains and their application in image processing [PDF]
Scientific ReportsThis study explores some geometric properties of the class of symmetric starlike functions associated with a Crescent-shaped domain denoted by $$\mathcal {SS}^{*}_{\mathcalligra{cre}}$$ .
Bushra Kanwal +3 more
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Bounds for the Second Hankel Determinant and Its Inverse in Specific Function Classes [PDF]
AxiomsThis paper presents a newly defined subclass of analytic functions and explores several significant properties within the class, which use for their definitions the q-analogues of the derivative and the subordinations. Thus, we tried to connect different
Trailokya Panigrahi +2 more
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Second Hankel Determinant of Logarithmic Coefficients of Convex and Starlike Functions of Order Alpha [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2021 Bogumiła Kowalczyk, Adam Lecko
exaly +2 more sources
Certain Coefficient Estimate Problems for Three-Leaf-Type Starlike Functions
Fractal and Fractional, 2021 In our present investigation, some coefficient functionals for a subclass relating to starlike functions connected with three-leaf mappings were considered.
Lei Shi +5 more
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