Slater determinants of orthogonal polynomials

DOI10.1016/j.jmaa.2015.11.039zbMath1333.81449arXiv1412.0326OpenAlexW2963513208MaRDI QIDQ898873

Yuan Xu, Dimitar K. Dimitrov

Publication date: 21 December 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.0326

zbMATH Keywords

Laplace transformorthogonal polynomialsWronskianSlater determinant

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (3)

Hankel determinants, Hahn polynomials, and a formula of Krattenthaler ⋮ Power series expansion of a Hankel determinant ⋮ Wronskians of Fourier and Laplace transforms

Cites Work

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• Jensen polynomials and the Turán and Laguerre inequalities
• Necessary and sufficient conditions and the Riemann hypothesis
• On certain formulas of Karlin and Szegö
• On certain determinants whose elements are orthogonal polynomials
• The importance of the Selberg integral
• Orthogonal Polynomials of Several Variables
• Analytical Mechanics for Relativity and Quantum Mechanics
• Characteristic polynomials of real symmetric random matrices

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