Singular behaviour of the lattice Green function for the d-dimensional hypercubic lattice

Journal of Physics A: Mathematical and General

Volumn 36, Issue 4, 2003, Pages 911-921

  Joyce, G S ^a  

^a KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037474389     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/36/4/304     Document Type: Article

References (17)

1. Berlin T H and Kac M 1952 Phys. Rev. 86 821-35
2. Davis P J 1965 Handbook of Mathematical Functions (New York: Dover) pp 253-93
3. Dingle R B 1973 Asymptotic Expansions: Their Derivation and Interpretation (London: Academic) pp 140-2
4. Domb C 1954 Proc. Camb. Phil. Soc. 50 586-91
5. Gerber P R and Fisher M E 1974 Phys. Rev. B 10 4697-703
6. Joyce G S 1972 Phase Transitions and Critical Phenomena vol 2, ed C Domb and M S Green (London: Academic) pp 375-42
7. Joyce G S 2001 J. Phys. A: Math. Gen. 34 3831-9
8. Joyce G S and Zucker I J 2001 J. Phys. A: Math. Gen. 34 7349-54
9. Katsura S, Morita T, Inawashiro S, Horiguchi T and Abe Y 1971 J. Math. Phys. 12 892-5
10. Katsura S and Inawashiro S 1971 J. Math. Phys. 12 1622-30
11. Luke Y L 1969 The Special Functions and their Approximations vol 1 (New York: Academic)
12. Maradudin A A, Montroll E W, Weiss G H, Herman R and Milnes H W 1960 Green's Functions for Monatomic Simple Cubic Lattices (Bruxelles: Académie Royale de Belgique)
13. Montroll E W 1956 Proc. 3rd Berkeley Symp. on Mathematical Statistics and Probability vol 3, ed J Neyman (Berkeley, CA: University of California Press) pp 209-46
14. Montroll E W and Weiss G H 1965 J. Math. Phys. 6 167-81
15. Watson G N 1939 Q. J. Math. Oxford 10 266-76
16. Wolfram T and Callaway J 1963 Phys. Rev. 130 2207-17
17. Wolfram S 1991 Mathematica: A System for Doing Mathematics by Computer 2nd edn (Redwood City, CA: Addison-Wesley)