I have been successfully using the Python Tweepy library to download data (tweets) from Twitter. I had substantial help with my code using Tweepy. For the next stage of my research, I need to access the Premium Search API, which I cannot do using Tweepy. Twitter recommends using TwitterAPI for premium search, available from @geduldig on GitHub. The problem is I'm new to Python and it would be a steep learning curve for me to learn TwitterAPI. Am I able to use TwitterAPI just to access the premium search API, but use Tweepy for other tasks (implement search query, etc)?
I do not know specifics about the libraries you asked, but of course, you could use both the libraries in your program. 
You need to spend a little bit more time grokking the TwitterAPI library. I do not think that amounts to a steep learning curve.
Python Novice: where to start with Python and TwitterAPI