On the finite difference between divergent sum and integral

DOI10.1088/0305-4470/14/5/021zbMath0461.40002OpenAlexW2163282614MaRDI QIDQ3910873

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Publication date: 1981

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

Full work available at URL: https://doi.org/10.1088/0305-4470/14/5/021

zbMATH Keywords

Abel-Plana formulaexponential summandslogarithmic power-law summandsunique finite differences

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Convergence and divergence of integrals (40A10)

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Equivalence of zeta function technique and Abel–Plana formula in regularizing the Casimir energy of hyper-rectangular cavities ⋮ Some developments of the Casimir effect in p-cavity of (D + 1)-dimensional space–time ⋮ A global approach with cutoff exponential function, mathematically well defined at the outset, for calculating the Casimir energy: the example of scalar field ⋮ Aspects of quantum energy and stress in inhomogeneous unbounded dielectric continua

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