Final answer:
The Kofun period of Japanese history is associated with Buddhist influence from Korea, marked by the introduction of Buddhism and the migration of Koreans to Japan.
Step-by-step explanation:
The period of Japanese history that is particularly associated with Buddhist influence from Korea is the Kofun period which lasted until the sixth century CE. During this time, in either 538 or 552, King Seong of Baekje in Korea sent emissaries to Japan along with Buddhist scriptures and a statue of the Buddha, marking the introduction of Buddhism into the country. Additionally, intense warfare on the Korean Peninsula prompted the migration of countless Koreans to Japan, most of whom were welcomed there.