Lattice Green functions: thed-dimensional face-centered cubic lattice,d= 8, 9, 10, 11, 12

DOI10.1088/1751-8113/49/16/164003zbMath1357.35096arXiv1601.05657OpenAlexW3102487598MaRDI QIDQ3186613

S. Hassani, Christoph Koutschan, Nadjah Zenine, Jean-Marie Maillard

Publication date: 10 August 2016

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

Full work available at URL: https://arxiv.org/abs/1601.05657

zbMATH Keywords

partial differential equationsdifferential Galois groupsface-centered cubic latticelattice Green functionFuchsian linear differential equations\(D\)-finite systemslong series expansions

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) Green's functions for elliptic equations (35J08)

Related Items (6)

No-neighbours recurrence schemes for space-time Green’s functions on a 3D simple cubic lattice ⋮ Truncation bounds for differentially finite series ⋮ Linear differential equations as a data structure ⋮ Diagonals of rational functions, pullbacked $\boldsymbol{_2F_1}$ hypergeometric functions and modular forms ⋮ Differential Galois Theory and Integration ⋮ Spanning tree generating functions for infinite periodic graphs L and connections with simple closed random walks on L

Uses Software

• HolonomicFunctions

This page was built for publication: Lattice Green functions: thed-dimensional face-centered cubic lattice,d= 8, 9, 10, 11, 12