Abstract
AbstractRadial spheroidal wavefunctions are functions of four variables, usually denoted by m, n, x, and γ, the last of which is known as the size parameter. This parameter becomes complex when the problem of scattering of a sound pulse by a spheroid is treated using a Laplace transform with respect to time together with the method of separation of variables. Several asymptotic approximations, involving modified Bessel functions, are developed and analyzed.
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