Okla. Stat. tit. 22 § 1355.13A
In any case wherein a defendant was subject to the death penalty and counsel was appointed and assigned, prior to July 1, 1991, to represent such defendant in the case because the defendant had no means and was unable to employ counsel, the court shall allow and direct to be paid from the Supreme Court Revolving Fund, unless otherwise provided by law, reasonable and just compensation to the counsel so assigned for such services as counsel may render, to include expert and investigative services, as approved by the Chief Justice of the Supreme Court. This section shall not apply to cases assigned for trial to the Indigent Defense System.
In any case subject to the provisions of this section, wherein the case is reversed and remanded for new trial on appeal, the case shall be assigned pursuant to the Indigent Defense Act, Section 1355.1 et seq. of Title 22 of the Oklahoma Statutes, or pursuant to Section 138.1 et seq. of Title 19 of the Oklahoma Statutes.
Okla. Stat. tit. 22, § 1355.13A