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Immanant positivity for Catalan-Stieltjes matrices
We give some sufficient conditions for the nonnegativity of immanants of square submatrices of Catalan-Stieltjes matrices and their corresponding...
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Hankel Determinants of the Generalized Factorials
Denote 〈 x | d 〉 n = x ( x + d )( x + 2 d ) · · · ( x + ( n - 1) d ) for n = 1, 2, · · ·, and 〈 x | d 〉 0 = 1, where 〈 x | d 〉 n is called the generalized factorial of x ...
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Third-Order Hankel Determinant for Transforms of the Reciprocal of Bounded Turning Functions
In this paper, we make an attempt to introduce a new subclass of analytic functions. Using the Toeplitz determinants, we obtain the best possible...
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Coefficient estimates for the family of starlike and convex functions of reciprocal order
Our purpose in the present investigation is to determine coefficient estimates and upper bounds of third Hankel determinant for the family of...
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On New Arithmetic Properties of Determinants of Hankel Matrices
We construct an infinite-dimensional Hankel matrix H ∞ with elements of the form m /2 l , where m , l ∈ ℤ, with the following property: the divisors of...
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Harold Widom’s Contributions to the Spectral Theory and Asymptotics of Toeplitz Operators and Matrices
This is a survey of Harold Widom’s work in the spectral theory of Toeplitz and Wiener-Hopf operators and on asymptotic problems for truncations of... -
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Hermitian Toeplitz determinants of the second and third-order for classes of close-to-star functions
For some subclasses of close-to-star functions the sharp upper and lower bounds of the second and third-order Hermitian Toeplitz determinants are...
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Hilbert–Burch Linear Sections
This chapter takes an exception to the previous chapters in that the focus is on linear sections of... -
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Noncommutative Catalan Numbers
The goal of this paper is to introduce and study noncommutative Catalan numbers Cn which belong to the free Laurent polynomial algebra Ln in n... -
Loops in SU(2) and Factorization, II
In the prequel to this paper, we proved that for a... -
Tau Functions Associated with Linear Systems
Let (−A, B, C) be a linear system in continuous time t > 0 with input and output space... -
Coefficient bounds and differential subordinations for analytic functions associated with starlike functions
The aim of the present paper is to study some coefficient problems for certain classes associated with starlike functions such as sharp bounds for...