Results 31 to 40 of about 480 (210)
On the limit of block Toeplitz determinants [PDF]
Proceedings of the American Mathematical Society, 1975 An asymptotic formula is derived for block Toeplitz determinants which generalizes Szeg6's well-known formula for ordinary Toeplitz determinants. The predecessor of this paper [5] was concerned, among other things, with the limiting behavior of the block Toeplitz determinants DN[.] = det TNh[01 where TN[s] = (sb.X), i, j= 0, *?, N.
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Asymptotic behavior and zero distribution of polynomials orthogonal with respect to Bessel functions [PDF]
, 2015 We consider polynomials P_n orthogonal with respect to the weight J_? on [0,?), where J_? is the Bessel function of order ?. Asheim and Huybrechs considered these polynomials in connection with complex Gaussian quadrature for oscillatory integrals.
Deaño Cabrera, Alfredo +5 more
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Third-Order Hankel and Toeplitz Determinants for Starlike Functions Connected with the Sine Function
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 +2 more
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COEFFICIENT INEQUALITY FOR MULTIVALENT BOUNDED TURNING FUNCTIONS OF ORDER α
Проблемы анализа, 2016 The objective of this paper is to obtain the sharp upper bound to the H_2(p + 1), second Hankel determinant for p-valent (multivalent) analytic bounded turning functions (also called functions whose derivatives have positive real parts) of order α (0 ≤ α
D. Vamshee Krishna, T. RamReddy
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The determinant, spectral properties, and inverse of a tridiagonal $k$-Toeplitz matrix over a commutative ring [PDF]
, 2023 A square matrix is $k$-Toeplitz if its diagonals are periodic sequences of period $k$. We find universal formulas for the determinant, the characteristic polynomial, some eigenvectors, and the entries of the inverse of any tridiagonal $k$-Toeplitz matrix
Brox, Jose, Albuquerque, Helena
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Certain New Subclass of Multivalent Q-Starlike Functions Associated with Q-Symmetric Calculus
Fractal and Fractional, 2022 In our present investigation, we extend the idea of q-symmetric derivative operators to multivalent functions and then define a new subclass of multivalent q-starlike functions.
Mohammad Faisal Khan +2 more
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Aspects of Toeplitz Determinants [PDF]
, 2011 We review the asymptotic behavior of a class of Toeplitz (as well as related Hankel and Toeplitz + Hankel) determinants which arise in integrable models and other contexts. We discuss Szego, Fisher-Hartwig asymptotics, and how a transition between them is related to the Painleve V equation.
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Emergence of a singularity for Toeplitz determinants and Painlevé V [PDF]
Duke Mathematical Journal, 2011 We obtain asymptotic expansions for Toeplitz determinants corresponding to a family of symbols depending on a parameter $t$. For $t$ positive, the symbols are regular so that the determinants obey Szegő's strong limit theorem. If $t=0$, the symbol possesses a Fisher-Hartwig singularity.
Claeys, T, Its, A, Krasovsky, I
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Relative Szegő Asymptotics for Toeplitz Determinants
International Mathematics Research Notices, 2017 Abstract We study the asymptotic behaviour, as $n \to \infty$, of ratios of Toeplitz determinants $D_n({\rm e}^h {\rm d}\mu)/D_n({\rm d}\mu)$ defined by a measure $\mu$ on the unit circle and a sufficiently smooth function $h$. The approach we follow is based on the theory of orthogonal polynomials.
Duits, Maurice, Kozhan, Rostyslav
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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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