86
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

A unified treatment of the lattice Green function, generalized Watson integral and associated logarithmic integral for the d-dimensional hypercubic lattice

&
Pages 1107-1112 | Received 20 Jul 2006, Accepted 14 Sep 2006, Published online: 04 Jul 2007

References

  • Berlin , TH and Kac , M . 1952 . Phys. Rev. , 86 : 821
  • Joyce , GS . 1972 . Phase Translations and Critical Phenomena , Edited by: Domb , C and Green , MS . Vol. 2 , London : Academic Press .
  • Gerber , PR and Fisher , ME . 1974 . Phys. Rev. B , 10 : 4697
  • Montroll , EW and Weiss , GH . 1965 . J. Math. Phys. , 6 : 167
  • Rosengren , A . 1987 . J. Phys. A , 20 : L923
  • Madras , N , Soteros , CE Whittington , SG . 1990 . J. Phys. A , 22 : 5327
  • Watson , GN . 1939 . Q J. Math. Oxford , 10 : 266
  • Borwein , JM and Zucker , IJ . 1992 . IMA J. Numer. Analysis , 12 : 519
  • Maradudin , AA , Montroll , EW Weiss , GH . 1960 . Green's Functions for Monatomic Simple Cubic Lattices , Brussels : Academie Royale de Belglque .
  • Zucker , IJ and Joyce , GS . 2005 . Proc. Am. Math. Soc. , 133 : 71
  • Joyce , GS and Zucker , IJ . 2001 . J. Phys. A , 34 : 7349
  • Joyce , GS . 2003 . J. Phys. A , 36 : 911
  • Joyce , GS . 1971 . J. Phys. C , 23 : 1390
  • Joyce , GS . 1971 . J. Phys. C , 23 : 1510
  • Joyce , GS . 1973 . Phil. Trans. R. Soc. A , 273 : 583
  • Joyce , GS . 1994 . Proc. R. Soc. A , 445 : 463
  • Joyce , GS . 2006 . J. Phys. Confer. Ser. , 42 : 95
  • Joyce , GS . 2001 . J. Phys. A , 34 : 3831
  • Delves , RT and Joyce , GS . 2001 . J. Phys. A , 34 : 71
  • Joyce , GS . 2000 . J. Phys. A , 33 : 5017
  • Joyce , GS , Delves , RT and Zucker , IJ . 2003 . J. Phys. A , 36 : 8661
  • Joyce , GS . 2002 . J. Phys. A , 35 : 9811
  • Joyce , GS and Delves , RT . 2004 . J. Phys. A , 37 : 5417
  • Joyce , GS and Delves , RT . 2004 . J. Phys. A , 37 : 3645
  • Li , Q , Soukoulis , C Economou , EN . 1989 . Phys. Rev. B , 40 : 2825
  • Inoue , M . 1975 . J. Math. Phys. , 16 : 809
  • Sakaji , A , Hijjawi , RS Shawagfeh , N . 2002 . Int. J. Theor. Phys. , 41 : 973
  • Hijjawi , RS and Khalifeh , JM . 2002 . Int. J. Theor. Phys. , 41 : 1769
  • Glasser , ML and Boersma , J . 2000 . J. Phys. A , 33 : 5017
  • Rao , S , Hernandez , C Simmons , JP . 1998 . Phil. Mag. A , 71 : 231
  • Abramowitz , M and Stegun , I . 1972 . Handbook of Mathematical Functions , New York : Dover .
  • Mamedov , BA , Merdan , Z and Askerov , IM . 2005 . J. Math. Chem. , 38 : 695
  • Guseinov , II and Mamedov , BA . 2002 . J. Molec. Model. , 8 : 272
  • Guseinov , II and Mamedov , BA . 2004 . J. Math. Chem. , 36 : 341
  • Gradshteyn , IS and Ryzhik , IM . 1980 . Tables of Integrals, Sums, Series and Product, , 4th ed. , New York : Academic Press .
  • Mamedov , BA , Tapramaz , R and Merdan , Z . 2005 . Appl. Math. , 168 : 333

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.