The attractive Coulomb potential polynomials

DOI10.1007/BF01890025zbMath0584.42016OpenAlexW1964765126MaRDI QIDQ1070477

Mourad E. H. Ismail, Edward Bank

Publication date: 1985

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01890025

zbMATH Keywords

orthogonal polynomialscontinuous spectrumAsymptotic methodsPollaczek polynomialsSchrödinger wave equationJ matrix method

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Quantum scattering theory (81U99) Convergence and divergence of continued fractions (40A15)

Related Items (13)

Discrete spectra of certain co-recursive Pollaczek polynomials and its applications ⋮ Géza Freud, orthogonal polynomials and Christoffel functions. A case study ⋮ Ideal basis sets for the Dirac Coulomb problem: Eigenvalue bounds and convergence proofs ⋮ Pollaczek polynomials and summability methods ⋮ Continuous vs. discrete models for the quantum harmonic oscillator and the hydrogen atom ⋮ Applications of non-orthogonal Laguerre function basis in helium atom ⋮ 45 years of orthogonal polynomials: A view from the wings ⋮ Uniform asymptotics and zeros of a system of orthogonal polynomials defined via a difference equation ⋮ On asymptotics of the sharp constants of the Markov-Bernshtein inequalities for the Sobolev spaces ⋮ Some elementary results concerning Pollaczek–Chebyshev polynomials ⋮ Contiguous relations, basic hypergeometric functions, and orthogonal polynomials. I ⋮ Exponential decay of resolvents and discrete eigenfunctions of banded infinite matrices ⋮ Asymptotics for orthogonal polynomials defined by a recurrence relation

Cites Work

• Sieved Ultraspherical Polynomials
• Recurrence relations, continued fractions, and orthogonal polynomials
• On Sieved Orthogonal Polynomials I: Symmetric Pollaczek Analogues
• On Certain Special Sets of Orthogonal Polynomials
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