Algebraic and spectral properties of some quasiorthogonal polynomials encountered in quantum radiation

DOI10.1063/1.531221zbMath0846.33007OpenAlexW2067409156WikidataQ58363500 ScholiaQ58363500MaRDI QIDQ4873383

A. Zarzo, André Ronveaux, Jesús S. Dehesera, Rafael Yáñez

Publication date: 19 May 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531221

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

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Cites Work

• A note on positive quadrature rules
• Newton sum rules of zeros of semiclassical orthogonal polynomials
• Spectral properties of the biconfluent Heun differential equation
• Quasi-orthogonality and differential equations
• Quasi-orthogonal polynomials, quadrature, and interpolation
• The three-term recurrence relation and the differentiation formulas for hypergeometric-type functions
• Numerical integration rules near Gaussian quadrature
• The quantum relativistic harmonic oscillator: Spectrum of zeros of its wave functions
• Polynomial-type eigenfunctions
• On the polynomial solutions of ordinary differential equations of the fourth order
• On the zeros of eigenfunctions of polynomial differential operators
• Further polynomial-type eigenfunctions
• Sum rules for zeros of polynomials. I
• Characterization of Positive Quadrature Formulas
• On the elementary Schrödinger bound states and their multiplets

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