Results 1 to 10 of about 1,081,230 (234)
Toeplitz Determinants for Inverse of Analytic Functions [PDF]
MathematicsEstimates 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 ...
Sarem H. Hadi +4 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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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 +2 more
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Toeplitz determinants in one and higher dimensions
Acta Mathematica Scientia, 2022 In this study, we derive the sharp bounds of certain Toeplitz determinants whose entries are the coefficients of holomorphic functions belonging to a class defined on the unit disk $\mathbb{U}$. Further, these results are extended to a class of holomorphic functions on the unit ball in a complex Banach space and on the unit polydisc in $\mathbb{C}^n ...
S Sivaprasad Kumar, Kumar S Sivaprasad
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Fourth-Order Hankel Determinants and Toeplitz Determinants for Convex Functions Connected with Sine Functions [PDF]
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 +3 more
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Математичні СтудіїThe 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 +2 more
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Hermitian–Toeplitz determinants for certain univalent functions [PDF]
Analysis and Mathematical Physics, 2023 Sharp upper and lower bounds for the second and third order Hermitian-Toepilitz determinants are obtained for some generalized subclasses of starlike and convex functions. Applications of these results are also discussed for several widely known classes.
Giri, Surya, Kumar, S. Sivaprasad
openaire +4 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 +6 more
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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
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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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