(Cover) - EN Showbiz - Uma Thurman would like loved ones to refer to her daughter as "Luna".

The 42-year-old actress and her partner Arpad Busson welcomed their new arrival on July 15.

Uma and Arpad decided not to reveal the baby's name to the public initially and chose instead to declare it to the world today.

"I would like to announce Uma and Arki's daughter's name for the first time officially: Rosalind Arusha Arkadina Altalune Florence Thurman-Busson, better known to family and friends as Luna," Uma's representative Gabrielle Kachman told People magazine.

Apparently the baby's long name is very personal for the parents.

Uma and Arpad chose each moniker to honour something deeply significant in their lives.

"Each name has a special reason and meaning to her mother and father," Gabrielle explained.

Uma has children Maya, 14, and 10-year-old Levon with her ex-husband Ethan Hawke.

Uma and Arpad have been together since 2007, although they briefly split in 2009. (C) Cover Media