(a) Subject to the provisions of this Article, each division of the Court shall select its presiding judge, and shall be judge of the qualifications and the disqualification of its own members and shall make and publish its own rules of procedure. Each division shall meet on call of its presiding judge or three (3) of its members; a majority of the authorized membership of either division of the court shall constitute a quorum for the exercise of any or all of the jurisdiction of that division, regardless of whether or not vacancies exist in the membership of that division.

(b) The Clerk of the Supreme Court shall be the clerk of the court. He shall perform his duties under the direction of the Court or of the presiding judges.

(c) In the exercise of its jurisdiction, the Court is vested with full judicial power and authority, including the power to summon witnesses to appear and testify under oath and to compel the production of books, papers, documents, records and other evidential objects; to issue all manner of judicial and remedial process and writs, legal or equitable; to provide for discovery procedures in advance of trial; to make rules governing procedure; to grant full immunity from prosecution or punishment when deemed necessary and proper in order to compel the giving of testimony under oath or the production of books, papers, documents, records or other evidential objects. The specific enumeration of powers herein shall not derogate from the existence of other judicial power and authority in the Court, or from the exercise thereof in aid of its jurisdiction.