Solution of a transcendental equation encountered in diffraction problems
Journal of Applied Mathematics and Mechanics(1983)
Abstract
An analytic expression is obtained for certain solutions of the transcendental equation encountered in the course of solving the diffraction problem for elastic waves on a circular cylinder and sphere, in the high frequency case. A new expression for the Hankel function is obtained in the region where the argument is large in modulo and the exponent is of the order of the argument.
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Key words
transcendental equation,diffraction,solution
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