Abstract
The generalization of Bessel's equation to functions of order zero was investigated by Sharpe and applied in the theory of the reflection of sound by a paraboloid. Here, a modification of Sharpe's differential equation to express both the spherical Bessel's equation and Bessel's (cylindrical) equation for functions of order zero is introduced. The generalization of the modified spherical Bessel's. equation to functions of order zero is also discussed.
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