ASYMPTOTIC-EXPANSION OF A QUADRUPLE INTEGRAL INVOLVING A BESSEL-FUNCTION

[摘要] An asymptotic expansion is derived for a quadruple integral involving the Bessel function J0[lambda(xy + zw)], where each of the integration variables x, y, z and w belongs to the interval [0, 1] and the large variable lambda tends to infinity. Corresponding results are also obtained for similar integrals in two and three dimensions.

[发布日期] 1990-12-21

[关键词] ASYMPTOTIC EXPANSION;QUADRUPLE INTEGRAL;BESSEL FUNCTION;HANKEL TRANSFORM;CRYSTALLOGRAPHY