  In this article we extend a previous discussion about the influence of an
external magnetic field on renormalons in a self interacting scalar theory by
including now temperature effects, in the imaginary formalism, together with an
external weak external magnetic field. We show that the location of poles in
the Borel plane does not change, getting their residues, however, a dependence
on temperature and on the magnetic field.The effects of temperature and the
magnetic field strength on the residues turn out to be opposite. We present a
detailed discussion about the evolution of these residues, showing technical
details involved in the calculation.
