I use iText in my application Is the application considered open source if I put the AGPL3 license when publishing the application on Google Play only?, or I must to do something else to considered open source?
From your earlier question (which you have since deleted) I note that your application has to be published under AGPLv3 because it uses an AGPLv3 library. In consequence, one of your obligations is to convey your binary under the AGPLv3 licence, but there are others.
One of these is that you must also make the full source for your application available, including that of the associated library, in a comparable manner to the binary. That doesn't mean you have to put the source up on Google Play as well, but it does mean you have to put it up somewhere, and you have to tell users of the binary about it. Such conveyance must also be done under AGPLv3, meaning that the recipient is entitled to do what he or she wants with the code, provided he or she also honours the terms of AGPLv3. This is not the only other obligation, but it's often seen as the largest.