A hospital chain serving Eastern Kentucky is seeking an emergency order to avoid disruptions to patients and widespread layoffs it says will occur in the state's poorest region unless a judge intervenes. Attorneys for Appalachian Regional Healthcare on Tuesday asked a federal judge to issue an injunction ordering Coventry Cares to let its members continue to receive services through the hospital chain. Coventry Cares is one of three companies approved by the state to provide managed-care services to poor, disabled and elderly people throughout most of the state under Medicaid. Coventry said it would cancel its contract with ARH after Friday. The termination, if it happens, would affect about 25,000 Medicaid recipients in the ARH service area.