How to find the apps I've downloaded on the app store

I love apps and have installed a few on my phone but have come across a problem since apple moved the app downloads from iTunes to the App Store (honestly it made much more sense to have them on the app store, but I digress). The problem I have is that I cannot find the apps I've downloaded via the app store or iTunes. I look under "Purchased" and it only lists about 5 of the 25 or so apps I've downloaded. I look under "My account" and it just lists my billing information. I discovered this problem because my daughter got ahold of my phone and deleted some apps I had and I can't remember which ones they were, nor can I find a list on my computer of downloaded apps that I had. Is there any way to find a list of all purchased or installed apps via the App Store? It may be helpful to highlight that whenever I bought or downloaded an app I always did it via my Mac