Melt butter and heat olive oil in a nonstick pan.
Add onions and cook for 1 minute.
Stir in garlic and lemon zest; continue to cook and stir for 30 seconds, or until fragrant.
Add rice; season with turmeric, salt and pepper, and cook and stir for 1 minute.
Stir in vegetable broth, half & half, and lemon juice.
Turn up the heat and bring mixture to a boil.
Reduce heat to a simmer; cover the pan and simmer for 18 to 20 minutes, or until liquid has evaporated.
Remove from heat.
Fluff with a fork and taste for seasonings; adjust accordingly.
Garnish with dill and green onions.
Serve.