%% Exstrom Labs bibtex file of Green function references.
%% Copyright (C) 2005 Exstrom Laboratories LLC
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@string{AMEJP = "Amer. J. Phys."}
@string{DUKMJ = "Duke Math. J."}
@string{JMATP4 = "J. Math. Phys."}
@string{JPHYSA = "J. Phys. A"}
@string{JPHYSC = "J. Phys. C"}
@string{PHYRE = "Phys. Rev. E (3)"}
@string{PHYRL = "Phys. Rev. Lett."}
@string{TBP = "To be published"}

@BOOK{green1828,
title = "An Essay on the Application of Mathematical Analysis to the Theories of Electricity and Magnetism",
author = "George Green",
publisher = "Nottingham",
year = "1828"
}

@BOOK{duffy2001,
title = "Green's Functions with Applications",
author = "Dean G. Duffy",
publisher = "Chapman and Hall/CRC",
year = "2001"
}

@BOOK{barton1989,
title = "Elements of Green's Functions and Propagation : Potentials, Diffusion, and Waves",
author = "Gabriel Barton",
publisher = "Oxford University Press",
year = "1989"
}

@BOOK{economou1983,
title = "Green's Functions in Quantum Physics",
author = "E.N. Economou",
publisher = "Springer-Verlag",
year = "1983"
}

@MISC{doyle2000,
title = "Random Walks and Electric Networks",
author = "Peter G. Doyle and J. Laurie Snell",
year = "2000",
eprint = "math.PR/0001057"
}

@MISC{hollos05_1,
title = "Some square lattice Green function formulas",
author = "Stefan Hollos and Richard Hollos",
year = "2005",
eprint = "cond-mat/0508779"
}

@MISC{hollos05_2,
title = "A lattice Green function introduction",
author = "Stefan Hollos",
year = "2005",
eprint = "http://www.exstrom.com/lgf/lgf.html"
}

@MISC{hollos05_3,
title = "The lattice Green function for the Poisson equation on an infinite square lattice",
author = "Stefan Hollos and Richard Hollos",
year = "2005",
eprint = "cond-mat/0509002"
}

@MISC{exstrom2005,
eprint = "http://www.exstrom.com/lgf/lgfpe/lgfpe.html"
}

@ARTICLE{prato83,
title = "Green functions and impurities in harmonic chains",
author = "D. Prato and C. A. Condat",
journal = AMEJP,
volume = "51",
number = "2",
month = "feb",
year = "1983",
pages = "140"
}

@ARTICLE{uehara86,
title = "Green's functions and coefficients of capacitance",
author = "Mituo Uehara",
journal = AMEJP,
volume = "54",
number = "2",
month = "feb",
year = "1986",
pages = "184"
}

@ARTICLE{lorenzo88,
title = "Green's functions and symmetry of the coefficients of a capacitance matrix",
author = "Vicente Lorenzo and Basilio Carrascal",
journal = AMEJP,
volume = "56",
number = "6",
month = "june",
year = "1988",
pages = "565"
}

@ARTICLE{sukumar90,
title = "Green's functions and a hierarchy of sum rules for the eigenvalues of confining potentials",
author = "C. V. Sukumar",
journal = AMEJP,
volume = "58",
number = "6",
month = "june",
year = "1990",
pages = "561"
}

@ARTICLE{donolato96,
title = "Approximate evaluation of capacitances by means of Green's reciprocal theorem",
author = "C. Donolato",
journal = AMEJP,
volume = "64",
number = "8",
month = "aug",
year = "1996",
pages = "1049"
}

@ARTICLE{cserti00,
title = "Application of the lattice Green's function for calculating the resistance of an infinite network of resistors",
author = "Jozsef Cserti",
journal = AMEJP,
volume = "68",
number = "10",
month = "oct",
year = "2000",
pages = "896",
eprint = "cond-mat/9909120"
}

@ARTICLE{cserti02,
title = "Perturbation of infinite networks of resistors",
author = "Jozsef Cserti and Gyula David and Attila Piroth",
journal = AMEJP,
volume = "70",
number = "2",
month = "feb",
year = "2002",
pages = "153",
eprint = "cond-mat/0107362"
}

@ARTICLE{duffin58,
title = "Difference equations of polyharmonic type",
author = "R. J. Duffin and E. P. Shelly",
journal = DUKMJ,
volume = "25",
year = "1958",
pages = "209"
}

@ARTICLE{mosig03,
title = "Static Green's functions with conformal mapping and MATLAB",
author = "Juan R. Mosig",
journal = "IEEE Antennas and Propagation Magazine",
volume = "45",
number = "5",
month = "oct",
year = "2003",
pages = "123"
}

@ARTICLE{katsura71_1,
title = "Lattice Green's function for the body centered cubic lattice",
author = "Shigetoshi Katsura and Tsuyoshi Horiguchi",
journal = JMATP4,
volume = "12",
number = "2",
month = "may",
year = "1971",
pages = "230"
}

@ARTICLE{katsura71_2,
title = "Lattice Green's function. Introduction",
author = "Shigetoshi Katsura and Tohru Morita and Sakari Inawashiro and Tsuyoshi Horiguchi and Yoshihiko Abe",
journal = JMATP4,
volume = "12",
number = "5",
month = "may",
year = "1971",
pages = "892"
}

@ARTICLE{katsura71_3,
title = "Lattice Greens function for the simple cubic lattice in terms of a Mellin-Barnes type integral",
author = "Shigetoshi Katsura and Sakari Inawashiro and Yoshihiko Abe",
journal = JMATP4,
volume = "12",
number = "5",
month = "may",
year = "1971",
pages = "895"
}

@ARTICLE{morita71_1,
title = "Lattice Green's function for the cubic lattices in terms of the complete elliptic integral",
author = "Tohru Morita and Tsuyoshi Horiguchi",
journal = JMATP4,
volume = "12",
number = "6",
month = "june",
year = "1971",
pages = "981"
}

@ARTICLE{morita71_2,
title = "Calculation of the lattice Green's function for the BCC, FCC, and rectangular lattices",
author = "Tohru Morita and Tsuyoshi Horiguchi",
journal = JMATP4,
volume = "12",
number = "6",
month = "june",
year = "1971",
pages = "986"
}

@ARTICLE{katsura71_4,
title = "Lattice Green's functions for the rectangular and the square lattices at arbitrary points",
author = "Shigetoshi Katsura and Sakari Inawashiro",
journal = JMATP4,
volume = "12",
number = "8",
month = "aug",
year = "1971",
pages = "1622"
}

@ARTICLE{morita71_3,
title = "Useful procedure for computing the lattice Green's function - square, tetragonal, and bcc lattices",
author = "Tohru Morita",
journal = JMATP4,
volume = "12",
number = "8",
month = "aug",
year = "1971",
pages = "1744"
}

@ARTICLE{horiguchi72_1,
title = "Lattice Green's function for the orthorhombic lattice in terms of the complete elliptic integral",
author = "Tsuyoshi Horiguchi and Yoshitake Yamazaki and Tohru Morita",
journal = JMATP4,
volume = "13",
number = "1",
month = "jan",
year = "1972",
pages = "16"
}

@ARTICLE{morita72,
title = "Lattice Green's function for the diatomic lattices",
author = "Tohru Morita and Tsuyoshi Horiguchi",
journal = JMATP4,
volume = "13",
number = "8",
month = "aug",
year = "1972",
pages = "1243"
}

@ARTICLE{horiguchi72_2,
title = "Lattice Green's functions for the triangular and honeycomb lattices",
author = "Tsuyoshi Horiguchi",
journal = JMATP4,
volume = "13",
number = "9",
month = "sept",
year = "1972",
pages = "1411"
}

@ARTICLE{inawashiro73,
title = "Lattice Green's function for the simple cubic lattice in terms of a Mellin-Barnes type integral. II",
author = "Sakari Inawashiro and Shigetoshi Katsura and Yoshihiko Abe",
journal = JMATP4,
volume = "14",
number = "5",
month = "may",
year = "1973",
pages = "560"
}

@ARTICLE{katsura74,
title = "Lattice Green's function of the body-centered cubic lattice at arbitrary points",
author = "Shigetoshi Katsura and Hiroshi Watanabe",
journal = JMATP4,
volume = "15",
number = "9",
month = "sept",
year = "1974",
pages = "1500"
}

@ARTICLE{terras80,
title = "Image methods for constructing Green's function and eigenfunctions for domains with plane boundaries",
author = "Riho Terras and Robert Swanson",
journal = JMATP4,
volume = "21",
number = "8",
month = "aug",
year = "1980",
pages = "2140"
}

@ARTICLE{wufy04,
title = "Theory of resistor networks: the two-point resistance",
author = "F. Y. Wu",
journal = JPHYSA,
volume = "37",
year = "2004",
pages = "6653-6673"
}

@ARTICLE{joyce72,
title = "Lattice Green function for the simple cubic lattice",
author = "G. S. Joyce",
journal = JPHYSA,
volume = "5",
year = "1972",
pages = "L65"
}

@ARTICLE{morita75,
title = "Use of a recurrence formula in computing the lattice Green function",
author = "T. Morita",
journal = JPHYSA,
volume = "8",
year = "1975",
pages = "478"
}

@ARTICLE{glasser00,
title = "Exact values for the cubic lattice Green functions",
author = "M. L. Glasser and J. Boersma",
journal = JPHYSA,
volume = "33",
year = "2000",
pages = "5017"
}

@ARTICLE{joyce01,
title = "Singular behaviour of the cubic lattice Green functions and associated integrals",
author = "G. S. Joyce",
journal = JPHYSA,
volume = "34",
year = "2001",
pages = "3831"
}

@ARTICLE{delves01,
title = "Exact evaluation of the Green function for the anisotropic simple cubic lattice",
author = "R. T. Delves and G. S. Joyce",
journal = JPHYSA,
volume = "34",
year = "2001",
pages = "L59-L65"
}

@ARTICLE{joyce02,
title = "Exact evaluation of the simple cubic lattice Green function for a general lattice point",
author = "G. S. Joyce",
journal = JPHYSA,
volume = "35",
year = "2002",
pages = "9811"
}

@ARTICLE{joyce03_1,
title = "Singular behaviour of the lattice Green function for the d-dimensional hypercubic lattice",
author = "G. S. Joyce",
journal = JPHYSA,
volume = "36",
year = "2003",
pages = "911"
}

@ARTICLE{joyce03_2,
title = "Exact evaluation of the Green functions for the anisotropic face-centred and simple cubic lattices",
author = "G. S. Joyce and R. T. Delves and I. J. Zucker",
journal = JPHYSA,
volume = "36",
year = "2003",
pages = "8661"
}

@ARTICLE{joyce04_1,
title = "Exact product forms for the simple cubic lattice Green function: I",
author = "G. S. Joyce and R. T. Delves",
journal = JPHYSA,
volume = "37",
year = "2004",
pages = "3645"
}

@ARTICLE{joyce04_2,
title = "Exact product forms for the simple cubic lattice Green function: II",
author = "G. S. Joyce and R. T. Delves",
journal = JPHYSA,
volume = "37",
year = "2004",
pages = "5417"
}

@ARTICLE{horiguchi75,
title = "Note on the lattice Green's function for the simple cubic lattice",
author = "T. Horiguchi and T. Morita",
journal = JPHYSC,
volume = "8",
year = "1975",
pages = "L232"
}

@ARTICLE{wu94,
title = "Efficient Green's function approach to finding the currents in a random resistor network",
author = "Kang Wu and R. Mark Bradley",
journal = PHYRE,
volume = "49",
number = "2",
month = "feb",
year = "1994",
pages = "1712"
}

@ARTICLE{sung01,
title = "Green's function approach to nonclassical reaction kinetics in fractal media",
author = "Jaeyoung Sung and Hwangseo Park and Sangyoub Lee",
journal = PHYRL,
volume = "86",
number = "11",
month = "mar",
year = "2001",
pages = "2463"
}

@ARTICLE{tiggelen03,
title = "Green function retrieval and time reversal in a disordered world",
author = "B. A. van Tiggelen",
journal = PHYRL,
volume = "91",
number = "24",
month = "dec",
year = "2003",
pages = "243904-1"
}