Abstract
This paper develops a formula of inversion for an integral transform of a type similar to that associated with the names of Kontorovich and Lebedev except that the kernel involves the Neumann function $Y_u (kr)$ and the variable r varies over the truncated infinite interval $a \leq r 0$. The transform is useful in the investigation of functions that satisfy the Helmholtz equation and a condition of radiation at infinity.
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