Preheat oven to 375°F degrees.
Grease baking dish with melted butter.
Slice potatoes into thin, even rounds.
Layer half the potatoes in dish.
Mix cream, milk, flour, and seasonings.
Pour half the cream mixture over potatoes.
Add remaining potatoes in even layer.
Pour remaining cream mixture over top.
Sprinkle cheese evenly across the surface.
Cover tightly with aluminum foil completely.
Bake covered for 45 minutes total.
Remove foil and bake 15 minutes.
Let rest 10 minutes before serving.