The functionality of mobile PDF viewers lags behind the desktop versions by quite a bit. When you use the default PDF viewer on an iOS device, you will get Apple's viewer, which does not support any interactive features. Adobe's Reader for mobile does support forms, but the Javascript support is very limited. You can get a rough idea about what is supported here: http://www.adobe.com/devnet-docs/acrobatetk/tools/Mobile/index.html
As was already mentioned, Readdle's PDF Expert has the best support for JavaScript, but still does not support everything that you can do on the desktop. You will have to experiment and potentially modify your form so that it runs with whatever mobile viewer you are targeting.
Karl Heinz Kremer
PDF Acrobatics Without a Net
PDF Software Development, Training and More...
http://www.khkonsulting.com