If Matthew presents Jesus as King of the Jews, and Mark portrays Him as Jehovah’s Servant, Luke portrays Jesus as the perfect God-man, with an emphasis on His humanity.
“Behold the Man!” is Luke’s main thrust, which makes sense because he writes to the Greeks, who mused much about humanity and embraced the gods and goddesses of Greek Mythology. In Luke’s gospel, we see God manifest in the flesh primarily, a Savior who identifies fully with our humanity and yet soars sinlessly and excellently above it.
In all, Luke wants us to know that Jesus is the perfect God-man. He is man enough to feel our pain and God enough to do something about it.