Spreading lengths of Hermite polynomials

DOI10.1016/j.cam.2009.09.043zbMath1188.33017arXiv0910.3809OpenAlexW2025879650WikidataQ58363197 ScholiaQ58363197MaRDI QIDQ847162

D. Manzano, Pablo Sánchez-Moreno, Jesús S. Dehesera, Rafael Yáñez

Publication date: 12 February 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.3809

zbMATH Keywords

orthogonal polynomialsFisher informationHermite polynomialsBell polynomialsRenyi entropyShannon entropycomputation of information measuresspreading lengths

Mathematics Subject Classification ID

Related Items (15)

Complexity-like properties and parameter asymptotics of Lq -norms of Laguerre and Gegenbauer polynomials ⋮ Analysis of solutions of time-dependent Schrödinger equation of a particle trapped in a spherical box ⋮ Information theoretic measures of uncertainty of a noncommutative anisotropic oscillator in a homogeneous magnetic field ⋮ Information-theoretic-based spreading measures of orthogonal polynomials ⋮ Direct spreading measures of Laguerre polynomials ⋮ Monotone complexity measures of multidimensional quantum systems with central potentials ⋮ Rényi entropy of the \(U(3)\) vibron model ⋮ Information-theoretic spreading measures of a particle confined in a 3D infinite spherical well ⋮ On a recent conjecture by Z. Van Herstraeten and N. J. Cerf for the quantum Wigner entropy ⋮ Rényi entropies, \(L_q\) norms and linearization of powers of hypergeometric orthogonal polynomials by means of multivariate special functions ⋮ Asymptotics \((p\to\infty)\) of \(L_p\)-norms of hypergeometric orthogonal polynomials ⋮ Linearization and Krein-like functionals of hypergeometric orthogonal polynomials ⋮ Frequency moments, \(L_q\) norms and Rényi entropies of general hypergeometric polynomials ⋮ Complexity analysis of hypergeometric orthogonal polynomials ⋮ Information entropy of conditionally exactly solvable potentials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fisher information of orthogonal hypergeometric polynomials
• Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
• Discrete entropies of orthogonal polynomials
• A generalized entropy measuring quantum localization
• Information entropy of classical orthogonal polynomials and their application to the harmonic oscillator and Coulomb potentials
• Asymptotics of entropy integrals for orthogonal polynomials
• \(L^p\)-norms of Hermite polynomials and an extremal problem on Wiener chaos
• Possible generalization of Boltzmann-Gibbs statistics.
• Some features of the López-Ruiz-Mancini-Calbet (LMC) statistical measure of complexity.
• Cramer--Rao information plane of orthogonal hypergeometric polynomials
• The Hausdorff entropic moment problem
• The Fisher-information-based uncertainty relation, Cramer–Rao inequality and kinetic energy for theD-dimensional central problem
• Information entropy of Gegenbauer polynomials of integer parameter
• Combinatorial Applications of Hermite Polynomials
• Themth Power of an$n \times n$ Matrix and the Bell Polynomials
• ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS
• Schrödinger equation from an exact uncertainty principle
• Information entropy of Gegenbauer polynomials
• Computation of the Entropy of Polynomials Orthogonal on an Interval
• ASYMPTOTIC BEHAVIOR OF THEL^p-NORMS AND THE ENTROPY FOR GENERAL ORTHOGONAL POLYNOMIALS
• ON SOME PROPERTIES OF NORMAL DISTRIBUTIONS, UNIVARIATE AND BIVARIATE, BASED ON SUMS OF SQUARES OF FREQUENCIES
• Fitting Growth and Frequency Curves by The Method of Frequency Moments
• THE METHOD OF FREQUENCY-MOMENTS AND ITS APPLICATION TO TYPE VII POPULATIONS
• EFFICIENCY OF THE METHOD OF MOMENTS AND THE GRAM-CHARLIER TYPE A DISTRIBUTION
• Quantum information entropies and orthogonal polynomials

This page was built for publication: Spreading lengths of Hermite polynomials