Quick search Find article
Quick search
Find article

Asymptotic expansion of the Keesom integral

Paul C Abbott

Show affiliations


COMMENT

The 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.


PACS

02.30.Mv Approximations and expansions

02.30.Rz Integral equations

MSC

45M05 Asymptotics

41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (See also 30E15)

Subjects

Mathematical physics

Dates

Issue 29 (20 July 2007)

Received 15 March 2007, in final form 4 June 2007

Published 3 July 2007



  1. Asymptotic expansion of the Keesom integral

    Paul C Abbott 2007 J. Phys. A: Math. Theor. 40 8599

  2. The Troublesome Broadband Evolution of GRB 061126: Does a Gray Burst Imply Gray Dust?

    D. A. Perley et al. 2008 ApJ 672 449

  3. Existence of Lanczos potentials and superpotentials for the Weyl spinor/tensor

    Fredrik Andersson and S Brian Edgar 2001 Class. Quantum Grav. 18 2297

  4. Isotopically engineered silicon/silicon-germanium nanostructures as basic elements for a nuclear spin quantum computer

    I Shlimak et al 2001 J. Phys.: Condens. Matter 13 6059

  5. Financial physics

    James Feigenbaum 2003 Rep. Prog. Phys. 66 1611

  6. Multiple high-order harmonic generation in the presence of intense laser and static magnetic fields

    X M Tong and S I Chu 1999 J. Phys. B: At. Mol. Opt. Phys. 32 5593

  7. Theory of structural and electronic properties of BAs

    R M Wentzcovitch and M L Cohen 1986 J. Phys. C: Solid State Phys. 19 6791

  8. Extrapolation procedure for low-temperature series for the square lattice spin-1 Ising model

    I Jensen and A J Guttmann 1996 J. Phys. A: Math. Gen. 29 3817

  9. Self-avoiding polygons on the square lattice

    Iwan Jensen and Anthony J Guttmann 1999 J. Phys. A: Math. Gen. 32 4867

  10. Conservation laws of scaling-invariant field equations

    Stephen C Anco 2003 J. Phys. A: Math. Gen. 36 8623

Users also read

What's this?
This innovative new feature generates a list of articles 'also read' by other users based on them reading the original article. Article abstracts citations and references are all considered and weighted accordingly. We hope that this will help you find relevant papers for your research.

  1. Asymptotic evaluation of the Keesom integral

Related review articles

What's this?
View review articles related to this research to gain an insight into the key trends in this subject area. Related review articles are selected based on PACS/MSC codes, and are no more than three years old.

  1. Spatiotemporal dynamics of continuum neural fields
  2. Inverse problems in ion channel modelling
  3. Inverse problems in astronomical adaptive optics

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.