What is meant by "mentioning their fathers"?

Imām Ibn al-Jawzī (d. 597/1201) summarized the scholars' opinions in his book "Zād al-Masīr" as follows:

1. Acknowledgment of their fathers.
2. Swearing by their fathers.
3. Mentioning the favours of their fathers to them, for they would remember their fathers while forgetting the blessings of Allah upon them.
4. How children call their fathers, as their first words are often to mention their fathers. [ʿAṭāʾ and al-Ḍaḥḥāk]