Using a HP adapter on a Dell could cause minor issues, as most Dell biosBIOSes communicate with the AC adapter (dallasthere's a Dallas chip ininside the AC adapter), so it will not recognize the HP adapter. Thus, it is possible that it will not allow charging of the battery due to this.
It should, it will however, power the notebook, all you can do it try it.
The output voltsvoltage and ampsamperage are so close that is not an issue.