Analytic continuations The complex analyticity of the distribution [y.
We will now derive a more explicit expression in order to evaluate the right-hand side of (41) after analytic continuation.
The right-hand side of (46) shows that the analytic continuation of the regular distribution [[absolute value of x].
By analytic continuation this product is uniquely extended to all z [member of] C\[Z.
After analytic continuation we get the distributions [T.
After analytic continuation we find that (72) continues to hold so that, [for all]z [member of] C\[Z.
In the process of analytic continuation and the extension process we used the fact that the operator [T.
Asymptotic expansions and analytic continuations of the H-function have been discussed by Braaksma ((1)).
Braaksma, Asymptotic expansions and analytic continuations for a class of Barnes integrals, Compos.
1), and the final result follows by an appeal to the principle of analytic continuation.