Kanye West has written four news songs about his daughter.

The 35-year-old rapper - who has just released his latest album 'Yeezus' - was so inspired by the birth of his first child with girlfriend Kim Kardashian last week that he has already started working on new music.

A source told Life & Style: ''He's been really inspired by the birth. He's written four songs already.''

Meanwhile, it has been revealed that Kanye is happy for him, Kim and their baby - who reportedly left hospital today (20.06.13) - to move in with Kim's family until renovations on their new Bel Air mansion are complete.

An insider previously revealed: ''All that's going to happen is that the family is going to wait on Kim hand-and-foot and do everything around the house while she and Kanye just chill with the baby. That sounds like a deal. It's like first class service all the way at Kim's mom's house.

''They're very thankful for the way they've been treated, and the hospitality [at the hospital] is amazing. But it's nothing like being at home, in your own space, with your own things.''