Open problem in orthogonal polynomials

DOI10.1016/S0034-4877(19)30100-4zbMath1441.81090arXiv1709.06081OpenAlexW2996742191WikidataQ126587419 ScholiaQ126587419MaRDI QIDQ2194279

A. D. Alhaidari

Publication date: 25 August 2020

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.06081

zbMATH Keywords

asymptoticsorthogonal polynomialspotential functionstridiagonal representationrecursion relationspectrum formula

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (9)

Progressive approximation of bound states by finite series of square-integrable functions ⋮ Series solutions of Heun-type equation in terms of orthogonal polynomials ⋮ Series solutions of Laguerre- and Jacobi-type differential equations in terms of orthogonal polynomials and physical applications ⋮ Bound states and the potential parameter spectrum ⋮ Deformed Morse-like potential ⋮ Exponentially confining potential well ⋮ Solutions of a Bessel-type differential equation using the tridiagonal representation approach ⋮ Solving Schrödinger equation by mapping it into a Heun-type equation with known solutions ⋮ Representation of the quantum mechanical wavefunction by orthogonal polynomials in the energy and physical parameters

Uses Software

• DLMF
• CAOP
• retode

Cites Work

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