Oklahoma Statutes § 12-114 General laws apply

Said elections shall be conducted under the laws applicable to regular Primary and General Elections, except that the candidate receiving the highest number of votes in said Primary Election shall be deemed the nominee of his political party, provided that the dates of the elections do not coincide with the dates for the regular Primary, Runoff Primary and General Elections. If the nominee of a political party is unopposed in the Special Election, he shall be issued a certificate of election after the expiration of the contest period following the Primary or Runoff Primary Election, if no contest is filed, and shall immediately assume the duties of said office.