Higher order terms in the saddle point approximation

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1967Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:Proceedings of the IEEE, volume 55, pages 1,496-1,497 (issn: 0018-9219,

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Authors: R.H. Schafer; R.G. Kouyoumjian;

doi: 10.1109/proc.1967.5863

Higher order terms in the saddle point approximation

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Abstract

An integral of the type which commonly occurs in radiation theory is evaluated by the method of steepest descent to optain a well-known asymptotic expansion. The coefficients of the first three terms of this expansion are given in terms of functions and derivatives of functions which appear in the integrand; the coefficient of the third term does not appear to have been given previously.

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