This took me a while to figure out, as the conventional window['someFunctionName']() did not work for me at first. The names of my functions were being pulled as an AJAX response from a database. Also, for whatever reason, my functions were declared outside of the scope of the window, so in order to fix this I had to rewrite the functions I was calling from
function someFunctionName() {}
to
window.someFunctionName = function() {}
and from there I could call window['someFunctionName']() with ease. I hope this helps someone!