a family name derived from name of your father or a paternal ancestor (especially with an affix (such as -son in English or O'- in Irish) added to the name of your father or a paternal ancestor)
مثال
Her patronymic surname traces back to her father's family line.
Many Slavic languages use patronymic naming conventions rather than family names.
He introduced himself with his patronymic middle name rather than his family surname.