On the Asymptotic Evaluation of Jq / 2 J 02 ( X sin x )

@inproceedings{Stoyanov2010OnTA,
  title={On the Asymptotic Evaluation of Jq / 2 J 02 ( X sin x )},
  author={Basil J. Stoyanov and Richard A. Farrell},
  year={2010}
}
The asymptotic behavior of the integral I(\)= I Jg(\sinx)dx Jo is investigated, where J0(x) is the zeroth-order Bessel function of the first kind and À is a large positive parameter. A practical analytical expression of the integral at large a is obtained and the leading term is (In a)/(\tt). Recently, while working on a variational formulation of diffraction theory, we encountered the following integral involving the zeroth-order Bessel function f»/2 (1) I(\)= r/2 J¿{\sinx)dx. Je. The… CONTINUE READING

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