Prince's Sister Files Legal Docs Saying There's No Will

Prince's sister Tyka has filed legal docs to open a probate case ... and she says as far as she can tell he left no will.

TMZ has obtained probate documents filed in Minnesota, in which Tyka asks the judge to appoint a "special administrator." Under Minnesota law, a special administrator is someone who is appointed when there is no executor named in a will.

Tyka says in her docs, "I do not know of the existence of a will and have no reason to believe that the decedent executed testamentary documents in any form."

If Prince did indeed die without a will, the estate is divided equally among his siblings.

Tyka lists the people who are potential beneficiaries ... all of whom are half brothers and sisters. They are John, Norrine, Sharon, Alfred and Omarr. They are all living siblings of Prince. She also says she's an heir entitled to her cut.

It's interesting ... Tyka names Lorna as a deceased half sister who left no kids. Under Minnesota law Lorna's out of the game when it comes to getting assets. But Tyka never even mentions Duane, reportedly Prince's half brother, who is also deceased.

There's also a line in the docs in which Tyka says, "The decedent has heirs whose identities and addresses need to be determined."