Kim Kardashian and Kanye West have reportedly named their baby Kaidence Donda West.
The reality TV star and rapper boyfriend Kanye welcomed their daughter at the weekend, five weeks before their due date.
Gossip website MediaTakeOut.com claims to have been given a tip off about the name by a nurse from Los Angeles' Cedars Sinai Hospital.
The name is a tribute to Kanye's late mother, Dr Donda West, a professor of English who died while undergoing cosmetic surgery in 2007.
Kaidence is a twist on Cadence, which means "the beat, time, or measure of rhythmical motion or activity", very apt for the child of a musician.
The name has been changed to start with the letter 'K' just like Kim, her mother Kris and her sister's Khloe and Kourtney, not to mention daddy Kanye.
Kim and her daughter are said to be "doing well" in hospital following the premature birth.
The couple had initially kept the baby's gender a secret, but the sex was revealed earlier this month during one of Kim's doctor appointments on the reality TV show Keeping Up With The Kardashians.