WI: Mathias Corvinus had a legimitate son?

Mathias Corvinus one of the greatest renaissance kings, was elected as king of hungary in 1458 and conquered bohemia and austria during his reign but because he had only a illegetime son his realm implodes with his death. So what if he had an legimitat son can this guy retain the conquest of his father?
http://en.wikipedia.org/wiki/Matthias_Corvinus
 
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