If a petition for the appointment of a conservator of the person, conservator of the estate, or conservator of the person and estate is brought in this state and this state was not the home state of the proposed conservatee on the date the petition was filed, in addition to complying with the notice requirements of this state, the petitioner shall give notice of the petition or of a hearing on the petition to those persons who would be entitled to notice of the petition or of a hearing on the petition if a proceeding were brought in the home state of the proposed conservatee. The notice shall be given in the same manner as notice is required to be given in this state.