(a) Assignments and appointments of counsel, psychiatrists, psychologists, physicians and social workers shall be made by the court in accordance with such rules as may be adopted by each Appellate Division. Each Appellate Division may compile and maintain such lists of attorneys, psychiatrists, psychologists, physicians and social workers as it shall deem appropriate for the implementation of its rules. Such rules may provide that the appointment of psychiatrists, psychologists, physicians and social workers shall be made after consultation with the Mental Hygiene Legal Service.

(b) Each claim by assigned counsel, psychiatrist, psychologist, physician or social worker payable from State funds for services rendered to indigent persons, pursuant to section 35 of the Judiciary Law, shall be submitted on forms authorized by the Chief Administrator of the Courts for approval within 45 days after completion of service to the court which made assignment. Upon approval, the court shall thereupon, within 15 days after receipt, forward such claims to the appropriate Appellate Division for certification to the Comptroller for payment.