Most likely, use 309 ss filler or wire for dissimilar stainless types. Always go one grade higher for stainless for filler, so 304 needs 308, 316 should use 316L, etc. Welding mild steel to 304 stainless, use 309 filler. There's a lot to learn on welding and I know just enough to be somewhat dangerous.
Readily welded but a pre-heat of 150-260°C is recommended. Grade 409 or Grade 430 electrode or filler rods can be used, but AS 1554.6 pre-qualifies welding of 409 with Grade 309 rods or electrodes. These austenitic fillers result in a more ductile weld.