Results 111 to 120 of about 8,276 (242)
On Hankel Determinant Inequalities
This article aims to obtain the second Hankel determinant inequalities for the inverse of the well-known classes of univalent functions, namely, starlike and convex functions.
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Determinants of Random Block Hankel Matrices
We consider the moment space $\mathcal{M}^{p}_{2n+1}$ of moments up to the order $2n + 1$ of $p_n\times p_n$ real matrix measures defined on the interval $[0,1]$. The asymptotic properties of the Hankel determinant $\{\log\det (M_{i+j}^{p_n})_{i,j=0,\ldots,\lfloor nt\rfloor}\}_{t\in [0,1]}$ of a uniformly distributed vector $(M_1,\dots ,M_{2n+1})^t\sim\
Dette, Holger, Tomecki, Dominik
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Determinant computations for some classes of Toeplitz-Hankel matrices [PDF]
Estelle Basor, Torsten Ehrhardt
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The third Hankel determinant for inverse coefficients of starlike functions of order 1/2 [PDF]
Molla Basir Ahamed, Partha Pratim Roy
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In recent years, many subclasses of univalent functions, directly or not directly related to the exponential functions, have been introduced and studied. In this paper, we consider the class of S e ∗ $\mathcal{S}^{\ast}_{e}$ for which z f ′ ( z ) / f ( z
Lei Shi +4 more
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Asymptotic formulas for determinants of a special class of Toeplitz + Hankel matrices [PDF]
Estelle Basor, Torsten Ehrhardt
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Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice
The spectral transformation technique for symmetric RII polynomials is developed. Use of this technique reveals that the nonautonomous discrete modified KdV (nd-mKdV) lattice is directly connected with the RII chain.
Kazuki Maeda, Satoshi Tsujimoto
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Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump
We obtain asymptotics in n for the n-dimensional Hankel determinant whose symbol is the Gaussian multiplied by a step-like function. We use Riemann-Hilbert analysis of the related system of orthogonal polynomials to obtain our results.Comment: 34 pages ...
Its, A., Krasovsky, I.
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