In a saucepan, combine the sugar, flour, and salt.Add milk in gradually while stirring gently.Cook over medium heat, stirring constantly, until the mixture is bubbly.Keep stirring and cook for about 2 more minutes, and then remove from the burner.
Stir a small quantity of the hot mixture into the beaten egg yolks, and immediately add egg yolk mixture to the rest of the hot mixture.Cook for 2 more minutes; remember to keep stirring.Remove the mixture from the stove, and add butter and vanilla.Stir until the whole thing has a smooth consistency.
Slice bananas into the cooled baked pastry shell.Top with pudding mixture.
Bake at 350 degrees F (175 degrees C) for 12 to 15 minutes.Chill for an hour.
You may use 3 tablespoons of cornstarch in place of 1/3 cup flour (I use cornstarch).
The pie crust can be store-bought or homemade.
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