The special election shall be called, noticed, held, and conducted, election officers appointed, voting precincts designated, candidates nominated, ballots printed, polls opened and closed, ballots counted and returned, returns canvassed, results declared, certificates of election issued, oaths of office administered, and all other proceedings incidental to and connected with the election shall be regulated and done, in accordance with the provisions of law regulating elections conducted pursuant to the Uniform District Election Law (Part 4 (commencing with Section 10500) of Division 10 of the Elections Code).