Paul C Abbott 2007 J. Phys. A: Math. Theor. 40 8599 doi:10.1088/1751-8113/40/29/N01
Paul C Abbott
Show affiliationsThe asymptotic evaluation and expansion of the Keesom integral, K(a), is discussed at some length in Battezzati and Magnasco (2004 J. Phys. A: Math. Gen. 37 9677; 2005 J. Phys. A: Math. Gen. 38 6715). Here, using standard identities, it is shown that this triple integral can be reduced to a single integral from which the asymptotic behaviour is readily obtained using Laplace's method.
41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (See also 30E15)
Issue 29 (20 July 2007)
Received 15 March 2007, in final form 4 June 2007
Published 3 July 2007
Paul C Abbott 2007 J. Phys. A: Math. Theor. 40 8599
J Jiménez-Mier et al 2001 J. Phys. B: At. Mol. Opt. Phys. 34 L693
Antonio Segatti and Sergey Zelik 2009 Nonlinearity 22 2733
Simo Saarakkala et al 2009 Phys. Med. Biol. 54 6837
Jinzhi Lei et al 2009 Nonlinearity 22 2845
Stephen M Merkowitz et al 1999 Class. Quantum Grav. 16 3035
U P Singh and P C Srivastava 1998 Semicond. Sci. Technol. 13 1219
Marco Brambilla 2002 Plasma Phys. Control. Fusion 44 2423
Lorenza Viola and Winton G Brown 2007 J. Phys. A: Math. Theor. 40 8109
Ueli Heiz and Wolf-Dieter Schneider 2000 J. Phys. D: Appl. Phys. 33 R85