h-index and patent citation
Why not?  Patent article is also your work published so it should be included in h-index and all other indices for that matter.

That being said, this is my opinion, not an expert advice (Thanks to @iayork for pointing it out).  Discussion in the comments.  But the fact that Google Scholar list patents in your profile and their citations are used to calculate h-index, I say it is okay to have patent citations in your h-index.