Rodney King's Fiancee -- Not Invited to Funeral

Rodney King's fiancée Cynthia Kelley is not invited to his funeral services -- King family sources tell TMZ.

According to sources, the services will be held next Saturday in Hollywood -- but the family hasn't contacted Cynthia since the day after Rodney died ... and doesn't plan to.

We're told Cynthia hasn't made any efforts to make arrangements for Rodney -- so the family doesn't feel the need to reach out.

We're told the family is also still skeptical about Cynthia's story -- that she heard Rodney banging on the window around 5 AM Sunday and then heard him fall in the pool.

The family doesn't believe Rodney drowned on his own because -- as one source put it -- Rodney was always a great swimmer.

Some family members don't have any hard feelings toward Cynthia -- but we're told many don't want to speak to her until an official cause of death has been released.