Results 21 to 30 of about 121 (87)

HANKEL DETERMINANT OF CERTAIN ORDERS FOR SOME SUBCLASSES OF HOLOMORPHIC FUNCTIONS

open access: yesUral Mathematical Journal, 2022
In this paper, we are introducing certain subfamilies of holomorphic functions and making an attempt to obtain an upper bound (UB) to the second and third order Hankel determinants by applying certain lemmas, Toeplitz determinants, for the normalized ...
D. Vamshee Krishna, D. Shalini
doaj   +1 more source

Discrete Toeplitz/Hankel Determinants and the Width of Nonintersecting Processes [PDF]

open access: yesInternational Mathematics Research Notices, 2013
30 pages, 3 ...
Baik, Jinho, Liu, Zhipeng
openaire   +2 more sources

The square lattice Ising model on the rectangle III: Hankel and Toeplitz determinants [PDF]

open access: yesJournal of Physics A: Mathematical and Theoretical, 2021
Abstract Based on the results obtained in (Hucht 2017 J. Phys. A: Math. Theor. 50 065201), we show that the partition function of the anisotropic square lattice Ising model on the L × M rectangle, with open boundary conditions in both directions, is given by the determinant of an M/2 × M/2 Hankel matrix, that ...
openaire   +3 more sources

On Coefficient Inequalities of Starlike Functions Related to the q-Analog of Cosine Functions Defined by the Fractional q-Differential Operator

open access: yesFractal and Fractional, 2023
This article extends the study of q-versions of analytic functions by introducing and studying the association of starlike functions with trigonometric cosine functions, both defined in their q-versions.
Yusra Taj   +5 more
doaj   +1 more source

Hankel and Toeplitz determinant for a subclass of multivalent $ q $-starlike functions of order $ \alpha $

open access: yesAIMS Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huo Tang   +3 more
openaire   +3 more sources

Determinant computations for some classes of Toeplitz-Hankel matrices [PDF]

open access: yesOperators and Matrices, 2009
The purpose of this paper is to compute the asymptotics of determinants of finite sections of operators that are trace class perturbations of Toeplitz operators. For example, we consider the asymptotics in the case where the matrices are of the form $ (a_{i-j} \pm a_{i+j+1-k})_{i,j=0... N-1} $ with $k$ is fixed.
Basor, EL, Ehrhardt, T
openaire   +3 more sources

Asymptotic Formulas for Determinants of a Special Class of Toeplitz + Hankel Matrices [PDF]

open access: yes, 2017
We compute the asymptotics of the determinants of certain $n\times n$ Toeplitz + Hankel matrices $T_n(a)+H_n(b)$ as $n\to\infty$ with symbols of Fisher-Hartwig type. More specifically we consider the case where $a$ has zeros and poles and where $b$ is related to $a$ in specific ways.
Basor, Estelle L., Ehrhardt, Torsten
openaire   +2 more sources

Hankel Determinant and Toeplitz Determinant on the Class of Bazileviˇc Functions Related to the Lemniscate Bernoulli

open access: yesEuropean Journal of Pure and Applied Mathematics, 2023
In this papers, we investigate the Hankel determinant and Toeplitz determinant for the class Bazileviˇc Function B1(α, δ) related to the Bernoulli Lemniscate function on the unit disk D = {z : |z| < 1} and obtain the upper bounds of the determinant H2(1), H2(2), T2(1), and investigate H2(1) using coefficients invers function.
null Ni Made Asih   +3 more
openaire   +1 more source

Sharp Estimates of Hermitian Toeplitz Determinants for Some Subclasses of Sakaguchi Type Function Related to Sine Function [PDF]

open access: yesSahand Communications in Mathematical Analysis
Hermitian Toeplitz determinants are utilized across various fields, such as functional analysis, applied mathematics, physics, and technical sciences. This paper establishes a link with specific subclasses of analytic functions. Extensive research exists
Sangarambadi Padmanabhan Vijayalakshmi   +2 more
doaj   +1 more source

Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows

open access: yesSpecial Matrices, 2019
In this paper, four-band Toeplitz matrices and four-band Hankel matrices of type I and type II with perturbed rows are introduced. Explicit determinants, inverses and eigenvalues for these matrices are derived by using a nice inverse formula of block ...
Zhang Maoyun   +2 more
doaj   +1 more source

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