Evaluation of the Watson integral and associated logarithmic integral for thed-dimensional hypercubic lattice

DOI10.1088/0305-4470/34/36/314zbMath1001.33011OpenAlexW1970874170MaRDI QIDQ2766243

G. S. Joyce, I. J. Zucker

Publication date: 27 January 2002

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

Full work available at URL: https://doi.org/10.1088/0305-4470/34/36/314

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Numerical approximation and evaluation of special functions (33F05)

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Topology and phase transitions: The case of the short range spherical model ⋮ A general method for calculating lattice green functions on the branch cut ⋮ Macroscopic loops in the \(3 d\) double-dimer model ⋮ Critical Casimir effect: exact results ⋮ PHASE TRANSITIONS AND QUANTUM STABILIZATION IN QUANTUM ANHARMONIC CRYSTALS ⋮ Exact results for the Casimir force of a three-dimensional model of relativistic Bose gas in a film geometry ⋮ 70+ years of the Watson integrals ⋮ Critical energy density ofO(n) models ind= 3 ⋮ Accurate evaluation of the cubic lattice Green functions using binomial expansion theorems ⋮ Asymptotics for the determinant of the combinatorial Laplacian on hypercubic lattices

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