Lattice Green functions: the seven-dimensional face-centred cubic lattice

DOI10.1088/1751-8113/48/3/035205zbMath1311.34057arXiv1409.8615OpenAlexW3102375251MaRDI QIDQ5173215

S. Hassani, Jean-Marie Maillard, Nadjah Zenine

Publication date: 9 February 2015

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

Full work available at URL: https://arxiv.org/abs/1409.8615

zbMATH Keywords

return probabilityapparent singularitiesface-centred cubic latticelattice Green functionFuchsian ODELandau conditionslong series expansioions

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Green's functions for ordinary differential equations (34B27) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Other functions defined by series and integrals (33E20)

Related Items (3)

No-neighbours recurrence schemes for space-time Green’s functions on a 3D simple cubic lattice ⋮ Truncation bounds for differentially finite series ⋮ Diagonals of rational functions, pullbacked $\boldsymbol{_2F_1}$ hypergeometric functions and modular forms

This page was built for publication: Lattice Green functions: the seven-dimensional face-centred cubic lattice