Dr. Conrad Murray has just filed an appeal, challenging his conviction for involuntary manslaughter in the death of Michael Jackson ... TMZ has learned.

Murray filed the document in pro per -- which means he's representing himself instead of using a lawyer.

On the portion of the document where a lawyer will usually state his or her firm's contact information -- Murray lists "Men's Central Jail" ... and includes his booking number.

While he is representing himself, Murray is still communicating with one of the lawyers who repped him in the manslaughter trial, Nareg Gourjian.


Gourjian tells TMZ ... "This case presents a gold mine of issues for any appellate lawyer. Dr. Murray is confident that the Court of Appeal will vindicate him."