Okla. Stat. tit. 18, § 2045

Subject to the provisions of Section 2008 of this title, a foreign limited liability company may register with the Secretary of State under the name which it is registered in its jurisdiction of organization and that could be registered by a domestic limited liability company. If the name of a foreign limited liability company does not satisfy the requirements of Section 2008 of this title, the foreign limited liability company may file with the Secretary of State a statement by its manager duly adopting a fictitious name that is available, and which satisfies the requirements of Section 2008 of this title, which shall be used to the exclusion of its true name when transacting business within this state.