In Python-telegram-bot how to get, if possible, the complete list of all participants of the group at which the bot was added?
You can't with current API but you could the join/exit of user members via it's API.
If you check the Message object you find :
So with this two information you can track the total number of users in your chat and who they are.
The basic strategy would be to store somewhere (like a database) the occurrences of joining and exiting of users from the group.
When a user join the chat store the object User to the storage. When a user exit the chat delete the object User from the storage.
Well then do the logic as you need.