The Alwars (also spelled Azhwars) are a group of 12 ancient Vaishnava saints who lived in Tamil Nadu and are famous for their poetry in praise of Vishnu. The collection of their 4000 poems, known as the Nalayira Divya Prabhandam, is considered by many to be the "Dravida Veda", or South Indian Veda. The Alwars are crucially important figures in the history of Vaishnavism; it's the principles and beliefs embodied in the Alwars' poems that ultimately gave rise to the Sri Vaishnava sect (of which I'm a member).
Poigai Alwar - Vishnu's Panchajanya Shankha
Bhoothath Alwar - Vishnu's Kaumodaki mace
Pey Alwar - Vishnu's Nandaka sword
Thirumazhisai Alwar - Vishnu's Sudarshana Chakra
Nammalwar - Vishnu's general Vishwaksena
Madhurakavi Alwar - Vishnu's bird Garuda
Kulasekhara Alwar - Vishnu's Kaustubha gem
Periyalwar - Vishnu's bird Garuda
Andal - Vishnu's wife Bhumidevi goddess of the Earth
Thondaradippodi Alwar - Vishnu's Vanamala garland
Thiruppan Alwar - Vishnu's Srivatsa mark
Thirumangai Alwar - Vishnu's Sharanga bow
Now since the Alwars' poems are in praise of Vishnu, you'd naturally expect them to contain references to numerous attributes and attendants of Vishnu. So my question is, which of the Alwars mention the gods that they themselves are incarnations of. For instance, does Nammalwar (whom I discuss here) ever mention Vishwaksena, the general of Vishnu's army whom he incarnated from?
The reason I ask is that I'm wondering if the Alwars tried to avoid mentioning the gods they were incarnated from. For instance, Periyalwar's famous Thirupallandu poem praises various attributes of Vishnu, but it neglects to mention Garuda. Perhaps that's because Periyalwar did not want to praise himself. Also, it might shed light on why Sri Vaishnavas associate each Alwar with a specific god.
You can read the Naalayira Divya Prabandham, the compilation of all the Alwars' poems, here.