Results 111 to 120 of about 8,276 (242)

On Hankel Determinant Inequalities

open access: yesInternational Journal For Multidisciplinary Research
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.
openaire   +1 more source

Determinants of Random Block Hankel Matrices

open access: yes, 2017
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
openaire   +2 more sources

Inverse logarithmic coefficient bounds for starlike functions subordinated to the exponential functions

open access: yesJournal of Inequalities and Applications
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
doaj   +1 more source

Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2013
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
doaj   +1 more source

Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump

open access: yes, 2007
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.
core   +1 more source

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