On the asymptotic evaluation of $\int ^ {\pi /2}_ 0J^ 2_ 0(\lambda \textrm {sin} x)dx$
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- by Basil J. Stoyanov and Richard A. Farrell PDF
- Math. Comp. 49 (1987), 275-279 Request permission
Abstract:
The asymptotic behavior of the integral \[ I(\lambda ) = \int _0^{\pi /2} {J_0^2(\lambda \sin x) dx} \] is investigated, where ${J_0}(x)$ is the zeroth-order Bessel function of the first kind and $\lambda$ is a large positive parameter. A practical analytical expression of the integral at large $\lambda$ is obtained and the leading term is $(\ln \lambda )/(\lambda \pi )$.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Math. Comp. 49 (1987), 275-279
- MSC: Primary 41A60; Secondary 65D30
- DOI: https://doi.org/10.1090/S0025-5718-1987-0890269-3
- MathSciNet review: 890269