Tru G Productions: Rodney

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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.

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.

Rodney King was an expert pot smoker ... and there's no way marijuana could have caused him to go off the hinges and act like a maniac on the night he died ... so say King's smoking buddies, who run his local weed dispensary.

Ever since investigators were pictured removing a cannabis plant from King's home this week, there have been suspicions that weed may have contributed to his death ... or at least caused Rodney to exhibit some bizarre behavior on the night he died ... including loud crying spells and banging on the windows of his home.

TMZ spoke with the people who run Arrow Alternative Remedies in San Bernardino, CA ... who tell us Rodney was a regular ... and even served as a celebrity "bud tender" during special events.

The pot people tell us ... "We used to smoke tons of weed with Rodney and not once was he too belligerent to function."

One pot pro also notes, "I never saw him come into the shop on alcohol or hard drugs."

"Honestly, he was a great guy and was starting to get back on track with his new book."

As TMZ first reported, Rodney died on Sunday ... but his legacy will live on in the pot shop -- where his old pals have already named a strain of weed after the guy ... "Rodney King OG."

Rodney King OG weed