Conn. Gen. Stat. § 51-50e: Senior judge may complete matters after expiration of his assignment.

A senior judge who has sat by designation and assignment in any court may, notwithstanding the expiration of his designation and assignment, decide or join in the decision and final disposition of all matters submitted to him during his assignment period and may decide or join in the consideration and disposition of applications for rehearing or further proceedings in the matters, including matters relating to cases on appeal.