Pantones are not copyrighted, they are simply industry standard so regardless of what monitor you are using to run the initial design you can specify exact "spot colours" which you need to print to. Printers will all know what you mean by a "pastel process uncoated" or a "process coated" colour reference, usually dicated by a Pantone reference such as Pantone 471. You can also specify "metallic process" pantones for hot stamped foil etc in case you want reflective metallic writing.

Not sure how much use a Pantone reference chart would be on a phone though. I could simply create a massive reference chart with each colour of p[antone in it for anyone who wants to write an application to run them in. The simple chart could then directly link to the colour, and the phone's screen would display the entire colour.

I'm no coder, but I know my design apps