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Boundary values of Hankel and Toeplitz determinants for q-convex functions [PDF]

MethodsX
The 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, Timilehin Gideon Shaba, Zainab S. Madhi, Maslina Darus, Alina Alb Lupaş, Fairouz Tchier   +5 more
doaj   +3 more sources

Toeplitz Determinants for Inverse of Analytic Functions

Mathematics
Estimates bounds for Carathéodory functions in the complex domain are applied to demonstrate sharp limits for the inverse of analytic functions. Determining these values is considered a more difficult task compared to finding the values of analytic ...
Alb Lupas Daciana Alina, Sarem H Hadi, Yahea Hashem Saleem   +2 more
exaly   +4 more sources

Sharp estimates of the Toeplitz determinants of certain order for the primary subclasses of univalent functions

Математичні Студії
The primary object of this paper is to investigate sharp estimate to the Toeplitz determinants of third order for the class of bounded turning functions and fourth order for the class of starlike and convex functions in the open unit disk $\mathbb{D ...
Bareh Winne, D. Vamshee Krishna, Rath Biswajit   +2 more
doaj   +2 more sources

Hankel, Toeplitz, and Hermitian-Toeplitz Determinants for Certain Close-to-convex Functions

Mediterranean Journal of Mathematics, 2022
Let f be analytic in $$\mathbb {D}=\{z\in \mathbb {C}:|z|
Adam Lecko, Vâsudeva Rao Allu, Derek Thomas   +2 more
exaly   +2 more sources

Hankel and Toeplitz determinants for a subclass of analytic functions

Математичні Студії, 2023
Let the function $f\left( z \right) =z+\sum_{k=2}^{\infty}a{_{k}}z {^{k}}\in A$ be locally univalent for $z \in \mathbb{D}% :=\{z \in \mathbb{C}:{|}z {|}
M. Buyankara, M. Çağlar
doaj   +2 more sources

Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions

Fractal and Fractional, 2022
This paper considers the basic concepts of q-calculus and the principle of subordination. We define a new subclass of q-starlike functions related to the Salagean q-differential operator.
Isra Al-shbeil, Jianhua Gong, Shahid Khan, Nazar Khan, Ajmal Khan, Mohammad Faisal Khan, Anjali Goswami   +6 more
doaj   +2 more sources

Certain inequalities related with Hankel and Toeplitz determinant for q-starlike functions [PDF]

Heliyon
In 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, Sa'ud Al-Sa'di, Saqib Hussain, Saima Noor   +3 more
doaj   +2 more sources

Fourth-Order Hankel Determinants and Toeplitz Determinants for Convex Functions Connected with Sine Functions

Journal of Mathematics, 2022
This article deals with the upper bound of fourth-order Hankel and Toeplitz determinants for the convex functions which are defined by using the sine function.
Farah Zulfiqar, Sarfraz Nawaz Malik, Mohsan Raza, Md. Shajib Ali   +3 more
doaj   +2 more sources

Bounds for Toeplitz Determinants and Related Inequalities for a New Subclass of Analytic Functions

Mathematics, 2023
In this article, we use the q-derivative operator and the principle of subordination to define a new subclass of analytic functions related to the q-Ruscheweyh operator.
Huo Tang, Ihtesham Gul, Saqib Hussain, Saima Noor   +3 more
doaj   +2 more sources

Sharp Bounds on Toeplitz Determinants for Starlike and Convex Functions Associated with Bilinear Transformations

Symmetry
Starlike and convex functions have gained increased prominence in both academic literature and practical applications over the past decade. Concurrently, logarithmic coefficients play a pivotal role in estimating diverse properties within the realm of ...
Pishtiwan Othman Sabir
exaly   +2 more sources