Connections between Kelvin functions and zeta functions with applications

DOI10.1088/0305-4470/25/23/024zbMath0778.11049OpenAlexW1987957440MaRDI QIDQ4038872

Klaus Kirsten

Publication date: 11 August 1993

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

Full work available at URL: https://doi.org/10.1088/0305-4470/25/23/024

zbMATH Keywords

Mellin transformmodified Bessel functionsanalytic continuationCasimir energyEpstein zeta functionKelvin functionsgrand thermodynamical potentialsmassive charged non- interacting gasnon-interacting bosonic field

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Quantum field theory on curved space or space-time backgrounds (81T20) Other Dirichlet series and zeta functions (11M41)

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