Information entropy of orthogonal polynomials

DOI10.1016/S0096-3003(01)00075-3zbMath1026.94003OpenAlexW2020331259MaRDI QIDQ1855674

Paolo Emilio Ricci, Matthew X. He

Publication date: 28 January 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(01)00075-3

zbMATH Keywords

Chebyshev polynomialsorthogonal polynomialsHermite polynomialsLaguerre polynomialsGegenbauer polynomialJacobi matrixquantum-mechanical systemsFreud orthogonal polynomialsBoltzmann-Shannon information entropy

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) General mathematical topics and methods in quantum theory (81Q99) Measures of information, entropy (94A17)

Related Items (1)

Information theoretic spreading measures of orthogonal functions

Cites Work

• Asymptotics of the information entropy for Jacobi and Laguerre polynomials with varying weights
• Information entropy of classical orthogonal polynomials and their application to the harmonic oscillator and Coulomb potentials
• Expansions in series of orthogonal hypergeometric polynomials
• Entropy of square non-negative matrices.
• Strong asymptotics of Laguerre polynomials and information entropies of two-dimensional harmonic oscillator and one-dimensional Coulomb potentials
• Spatial entropy of central potentials and strong asymptotics of orthogonal polynomials
• Logarithmic potential of Hermite polynomials and information entropies of the harmonic oscillator eigenstates
• Entropy of orthogonal polynomials with Freud weights and information entropies of the harmonic oscillator potential
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