You need to start by burning the pepper's skin. Place the peppers under a grill and grill long enough for the skin to blackened or just enough so the skin is easily peeled off and peppers have softened. Once the peppers are done place them in a bowl of cold water (this will cool them down quicker and make it easier to peel the skin). When done Peel and cut into strips.

While the peppers are under the grill, peel and slice the potatoes.

Then melt the butter along with the olive oil over a medium heat and add the potatoes. Try to evenly space the potatoes out in the pan and fry for about 15-20 minutes stirring gently along the way. It's inevitable that some potato slices will break in the process so don't worry to much.

Gently mix in the pepper strips into the potatoes