Distributed Gaussian polynomials and associated Gaussian quadratures

DOI10.1063/1.532126zbMath0893.33003OpenAlexW2020124500MaRDI QIDQ4370783

Edwin L. Sibert III, Hasan Karabulut

Publication date: 6 January 1998

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

Full work available at URL: https://doi.org/10.1063/1.532126

zbMATH Keywords

Gaussian quadrature formulasdistributed Gaussian polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (6)

The computation of radial integrals with nonclassical quadratures for quantum chemistry and other applications ⋮ The Lagrange-mesh method ⋮ Complete sets of Bloch and Wannier functions composed of oscillator eigenfunctions ⋮ VENEZIANO AMPLITUDES, SPIN CHAINS, AND STRING MODELS ⋮ A Wannier function made from distributed Gaussians ⋮ Distributed Gaussian polynomials as q-oscillator eigenfunctions

Cites Work

• Generalised meshes for quantum mechanical problems
• Ramanujan's Extensions of the Gamma and Beta Functions
• Inversion of Cyclic Matrices
• The Structure of Electronic Excitation Levels in Insulating Crystals

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