  Feynman integrals are solutions to linear partial differential equations with
polynomial coefficients. Using a triangle integral with general exponents as a
case in point, we compare $D$-module methods to dedicated methods developed for
solving differential equations appearing in the context of Feynman integrals,
and provide a dictionary of the relevant concepts. In particular, we implement
an algorithm due to Saito, Sturmfels, and Takayama to derive canonical series
solutions of regular holonomic $D$-ideals, and compare them to asymptotic
series derived by the respective Fuchsian systems.
