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

  title={On the Asymptotic Evaluation of Jq / 2 J 02 ( X sin x )},
  author={Basil J. Stoyanov and Richard A. Farrell},
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

From This Paper

Topics from this paper.


Publications citing this paper.


Publications referenced by this paper.
Showing 1-3 of 3 references


I. S. Gradshtey
M. Ryzhik, Tuble of Integrals, Series, and Products, Academic Press, New York, • 1980


N. Bleistei
A. Handelsman, Asymptotic Expansions of Integrals, Holt, Rinehart and Winston, New York, • 1975
View 1 Excerpt

of Series and Products, Prentice-Hall, Englewood Cliffs, N

E. R. Hansen, A Tabl
J., • 1975

Similar Papers

Loading similar papers…