How does Odysseus convince his son that he's his father?

Odysseus convinces his son Telemachus of his identity by revealing intimate knowledge that only he would possess, such as specific details about their family and past events. He also shares personal stories and experiences from their time together, reinforcing their bond. Additionally, Odysseus demonstrates his wisdom and authority, which reassures Telemachus that he is indeed his father returned after many years. This combination of personal recognition and shared history helps solidify their relationship.