Heat oven to 400°F.
Mix together the fresh herbs, garlic, melted butter, and wine in a small mixing bowl and set aside.
Use a knife to slice off the bottom 1/2-inch of the artichoke stems, and the top 1 inch of the artichoke globes Remove and discard any small leaves toward the bottoms of the stems. Rinse the artichokes thoroughly with water.
Slice the artichokes in half vertically. Use a spoon to scoop out the fuzzy “choke” in the middle of the artichoke. Then use kitchen shears to trim about 1/4/-inch off the pointy tips of each of the artichoke leaves. To prevent browning, rub the squeezed lemon rinds all over the entire surface of each artichoke half.
Place the artichoke halves in a baking dish or on a baking sheet cut-side-up. Brush the cut sides of the artichokes evenly with the garlic herb butter and wine mixture. Season with salt and pepper.
Turn the artichokes over so they are cut side down. Brush the tops of the artichokes with garlic herb butter and wine, and season with salt and pepper.
Drizzle the remaining butter and wine mixture as well as water into the bottom of the pan with cut artichokes.
Bake uncovered for 15 minutes. Then remove and cover the pan with aluminum foil, and bake for an additional 25-35 minutes, or until the artichokes are tender and the leaves pull off easily.
Place the tray on a cooling rack. Serve the roasted artichokes warm with melted butter for dipping.