Let X be a complex manifold and let f: X→ℂp be a holomorphic mapping defining a complete intersection. We prove that the iterated Mellin transform of the residue integral associated with f has an analytic continuation to a neighborhood of the origin in ℂp.
"Analytic continuation of residue currents." Ark. Mat. 47 (1) 127 - 141, April 2009. https://doi.org/10.1007/s11512-008-0086-9