1.AdjectiveOf, relating to, or being the person or entity after which someone or something is named; serving as an eponym.
"Prince Hamlet is the eponymous protagonist of the Shakespearian tragedy Hamlet.; Robinson Crusoe is the eponymous hero of the book.; The language Limburgish is named after the eponymous provinces in Belgium and the Netherlands."
2.AdjectiveOf a thing: named after a person or entity.
"The American singer-songwriter Madonna released her eponymous album in 1983."