Jump Desktop for Android and Jump Desktop for iOS are two separate products and you can not transfer purchases between the two platforms. You'll have to purchase the iOS and Android version of Jump Desktop separately if you plan to use Jump on both platforms.
Once you purchase Jump Desktop for iOS you can freely transfer it to any of your iOS devices (iPad, iPhone or iPad) as long as they are connected to the same iTunes account. The same goes for Android - purchasing it once from the App Market gives you the ability to transfer the purchase to all your other Android devices linked to the same Android Market account.
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