Results 1 to 10 of about 102 (70)

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   +6 more sources

Toeplitz and Hankel determinants of logarithmic coefficients for r-valent q-starlike and r-valent q-convex functions [PDF]

MethodsX
The aim of the present paper is to extend the notions of q-starlikeness and q-convexity to encompass multivalent q-starlikeness and multivalent q-convexity.
Pishtiwan Othman Sabir, Awara Ahmed Ali
doaj   +6 more sources

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   +5 more sources

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, Jiang Xiaoyu, Jiang Zhaolin, Jhang Seongtae   +3 more
doaj   +3 more sources

Third-Order Hankel and Toeplitz Determinants for Starlike Functions Connected with the Sine Function [PDF]

Mathematics, 2019
Let S s * be the class of normalized functions f defined in the open unit disk D = { z : | z | < 1 } such that the quantity z f ′ ( z ) f ( z ) lies in an eight-shaped region in the right-half plane and satisfying
Hai-Yan Zhang, Rekha Srivastava, Huo Tang   +2 more
doaj   +4 more sources

Hankel and Toeplitz Determinants for q-Starlike Functions Involving a q-Analog Integral Operator and q-Exponential Function

Journal of Function Spaces
This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q-starlike functions defined by a q-analog integral operator, which is a more general form of the q-Srivastava-Attiya operator, and the q ...
Sarem H. Hadi, Maslina Darus, Rabha W. Ibrahim   +2 more
doaj   +3 more sources

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

Mediterranean Journal of Mathematics, 2022
AbstractLet f be analytic in $$\mathbb {D}=\{z\in \mathbb {C}:|z|<1\}$$ D = { z ∈ C : | z | <
Adam Lecko, Vâsudeva Rao Allu, Derek Thomas   +2 more
exaly   +3 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   +3 more sources

Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities [PDF]

Annals of Mathematics, 2011
43 pages, 3 figures, extended ...
Igor Krasovsky, Percy Deift
exaly   +9 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