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cond-matAug 31, 1994
21
citations (OpenAlex)
authors
  • M. L. Glasser
  • A. J. Guttmann
institutions
  • Clarkson University
arXiv abstractPDF
paper

Lattice Green Function (at 0) for the 4d Hypercubic Lattice

arXiv:cond-mat/9408097 · doi:10.1088/0305-4470/27/21/016

Abstract

The generating function for recurrent Polya walks on the four dimensional hypercubic lattice is expressed as a Kampe-de-Feriet function. Various properties of the associated walks are enumerated.

latex, 5 pages, Res. Report 19

References in corpus (1)

  • Random Walks in Noninteger Dimension

Cited by in corpus (11)

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  • Ising n-fold integrals as diagonals of rational functions and integrality of series expansions
  • Analytical expressions of 3 and 4-loop sunrise Feynman integrals and 4-dimensional lattice integrals
  • Diagonals of rational functions and selected differential Galois groups
  • Series expansions for lattice Green functions
  • Holonomic functions of several complex variables and singularities of anisotropic Ising n-fold integrals
  • Diagonals of rational functions, pullbacked 2F1 hypergeometric functions and modular forms (unabrigded version)
  • On Laporta's 4-loop sunrise formulae
  • Heun functions and diagonals of rational functions (unabridged version)
  • Canonical decomposition of linear differential operators with selected differential Galois groups
  • A note on a hypercubic Mahler measure and associated Bessel Integral
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