Meet Rani Rose! Kate Hudson Shares Sweet First Photo of Newborn Daughter: 'Our Little Rosebud'

Kate Hudson welcomed daughter Rani Rose with boyfriend Danny Fujikawa on Oct. 2

Photo: Kate Hudson/Instagram; Getty Images

Introducing Rani Rose!

Kate Hudson shared the first photo of her adorable newborn baby girl via Instagram on Saturday, just four days after the actress welcomed her first child with boyfriend Danny Fujikawa on Oct. 2.

“Our little rosebud,” Hudson, 39, wrote on Saturday alongside the sweet snap, in which her daughter appeared to be fast asleep while snuggling inside a striped blanket. In the image, the newborn wore an adorable pink hat adorned with a simple bow.

The actress, who announced her pregnancy in February, is also mom to 7-year-old son Bingham Hawn from her relationship with ex-fiancé Matt Bellamy and 14-year-old son Ryder Russell from her marriage to ex-husband Chris Robinson.

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In her birth announcement, the mom of three explained the sweet meaning behind the name, Rani Rose Hudson Fujikawa.

“We have decided to name our daughter Rani (pronounced Ronnie) after her grandfather, Ron Fujikawa. Ron was the most special man who we all miss dearly. To name her after him is an honor,” Hudson explained on Instagram. Fujikawa’s father, Ron, died in October 2012.

Sian Gordon/Instagram

Kate Hudson and Danny Fujikawa with his brothers Michael and Braden

Hudson previously said she and Fujikawa had yet to decide on a name for their daughter during a Sept. 20 appearance on The Ellen DeGeneres Show with mother Goldie Hawn, 72. “We have a couple of them and we’re going to decide when the day comes,” Hudson said.

A source recently told PEOPLE that the couple was over the moon about their baby girl and becoming parents together.

“She and Danny are great,” the source said weeks before Hudson gave birth. “Kate is bubbly with excitement every time she talks about Danny and how they are having a family together. She is crazy about Danny.”

RELATED VIDEO: Kate Hudson on How Her Third Pregnancy Is Different — from Pre-Natal Yoga to Morning Sickness

Hudson’s brother Wyatt Russell, 32, previously told PEOPLE about how “excited” their famous family was to meet Kate’s newest addition and revealed that his sister always wished to be a mom to a girl.

“I was happy. I was teary-eyed because I know how badly she wanted a girl. I know Danny, I’m sure in some part of every man’s brain you’re like, ‘I’d love to have a little me.’ But when he met my brother’s little girl Rio, who’s the cutest thing in the entire world, she made him be like, ‘Okay, I want a girl,’ ” he said.

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