Discrete determinants and the Gel’fand–Yaglom formula

DOI10.1088/1751-8113/45/21/215203zbMath1245.39016arXiv1111.5565OpenAlexW3100138000MaRDI QIDQ2893132

J. Stuart Dowker

Publication date: 26 June 2012

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

Full work available at URL: https://arxiv.org/abs/1111.5565

zbMATH Keywords

orthogonal polynomialseigenvaluesdifference operatorRobin boundary conditionstrace formuladiscrete Sturm-Liouville theoryEuler-Rayleigh sumsformula functional determinantGel'fand-Yaglom

Mathematics Subject Classification ID

Difference operators (39A70) Linear difference operators (47B39)

Related Items (4)

Deconstructing the Gel'fand-Yaglom method and vacuum energy from a theory space ⋮ On functional determinants of matrix differential operators with multiple zero modes ⋮ Gelfand–Yaglom formula for functional determinants in higher dimensions ⋮ Trigonometric sums by Hermite interpolations

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