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.
Our law enforcement sources say Rodney's death is still being investigated as an accident, and there are no signs of foul play. Attempts to reach Cynthia were unsuccessful.