Zobrazeno 1 - 10
of 2 260
pro vyhledávání: '"42c05"'
Autor:
Gordillo-Núñez, G., Suzuki, A.
In this note we investigate, as a natural continuation of [K. Castillo, Constr. Approx., 55 (2022) 605-627], the behaviour of the zeros of discrete paraorthogonal polynomials on the unit circle with respect to a real parameter.
Externí odkaz:
http://arxiv.org/abs/2411.19705
We tackle the regularisation of a differential system related to generalised Krawtchouk polynomials. We show a straightforward connection between certain auxiliary quantities involving the recurrence coefficients of these polynomials and Painlev\'e V
Externí odkaz:
http://arxiv.org/abs/2411.18192
In this paper, we obtain some exact $L_2$ Bernstein-Markov inequalities for generalized Hermite and Gegenbauer weight. More precisely, we determine the exact values of the extremal problem $$M_n^2(L_2(W_\lambda),{\rm D}):=\sup_{0\neq p\in\mathcal{P}_
Externí odkaz:
http://arxiv.org/abs/2411.16359
Autor:
Mañas, Manuel, Rojas, Miguel
General Geronimus transformations, defined by regular matrix polynomials that are neither required to be monic nor restricted by the rank of their leading coefficients, are applied through both right and left multiplication to a rectangular matrix of
Externí odkaz:
http://arxiv.org/abs/2411.16022
Autor:
Huertas, Edmundo J., Mañas, Manuel
Mixed orthogonal Laurent polynomials on the unit circle of CMV type are constructed utilizing a matrix of moments and its Gauss--Borel factorization and employing a multiple extension of the CMV ordering. A systematic analysis of the associated multi
Externí odkaz:
http://arxiv.org/abs/2411.10834
Recently, general fractional calculus was introduced by Kochubei (2011) and Luchko (2021) as a further generalisation of fractional calculus, where the derivative and integral operator admits arbitrary kernel. Such a formalism will have many applicat
Externí odkaz:
http://arxiv.org/abs/2411.08080
Autor:
Min, Chao, Fang, Pixin
We further study the orthogonal polynomials with respect to the generalized Airy weight based on the work of Clarkson and Jordaan [{\em J. Phys. A: Math. Theor.} {\bf 54} ({2021}) {185202}]. We prove the ladder operator equations and associated compa
Externí odkaz:
http://arxiv.org/abs/2411.07093
Autor:
Mu, Xinyu, Lyu, Shulin
We study the Hankel determinant generated by the moments of the deformed Laguerre weight function $x^{\alpha}{\rm{e}}^{-x}\prod\limits_{k=1}^{N}(x+t_k)^{\lambda_k}$, where $x\in \left[0,+\infty \right)$, $\alpha,t_k >0, \lambda_k\in\mathbb{R}$ for $k
Externí odkaz:
http://arxiv.org/abs/2410.22780
Autor:
Wu, Sha, Xiao, Yingqing
Let $\left\{b_{k}\right\}_{k=1}^{\infty}$ be a sequence of integers with $|b_{k}|\geq2$ and $\left\{D_{k}\right\}_{k=1}^{\infty} $ be a sequence of equidifferent digit sets with $D_{k}=\left\{0,1, \cdots, N-1\right\}t_{k},$ where $N\geq2$ is a prime
Externí odkaz:
http://arxiv.org/abs/2410.21626
Autor:
Svela, Erling A. T.
Daubechies-type theorems for localization operators are established in the multi-variate setting, where Hagedorn wavepackets are identified as the proper substitute of the Hermite functions. The class of Reinhardt domains is shown to be the natural c
Externí odkaz:
http://arxiv.org/abs/2410.18769