1. (1) Upon the death of a member in service or after retirement, such member’s child or children under the age of eighteen years at the time of the member’s death shall be paid fifty dollars per month each until he or she shall attain the age of eighteen years; however, each such child who is or becomes a full-time student at an accredited educational institution shall continue to receive payments under this section for so long as such child shall remain such a full-time student or shall be in a summer or other vacation period scheduled by the institution with intent by such child, demonstrated to the satisfaction of the retirement board, to return to such full-time student status upon the resumption of the institution’s classes following such vacation period, but in no event shall such payments be continued after such child shall attain the age of twenty-one years except as hereinafter provided.

(2) Any child eighteen years of age or older, who is physically or mentally incapacitated from wage earning, so long as such incapacity exists as certified by a member of the medical board, shall be entitled to the same benefits as a child under the age of eighteen. For purposes of this section, a determination of whether a child of a member is physically or mentally incapacitated from wage earning so that the child is entitled to benefits under this section shall be made at the time of the member’s death. If a child becomes incapacitated after the member’s death, or if a child’s incapacity existing at the member’s death is removed and such child later becomes incapacitated again, such child shall not be entitled to benefits as an incapacitated child under the provisions of this section. A child shall be deemed incapacitated only for so long as the incapacity existing at the time of the member’s death continues.

(3) Notwithstanding any other law to the contrary, amounts payable under subdivision (1) or (2) of this subsection shall not be subject to offset or reduction by amounts paid or payable under any workers’ compensation or similar law.

2. Upon or after the death of a member in service or after retirement with entitlement to benefits, if there is no surviving spouse or if a surviving spouse dies, the total amount, including any amounts receivable as consulting compensation, but not including any supplemental benefits under section 86.1230 for a Tier I member or section 86.1231 for a Tier II member, which would be received by a qualified surviving spouse or which is being received by the surviving spouse at the date of death of such surviving spouse shall be added to the amounts received by and shall be divided among the children of such member under the age of eighteen years and the incapacitated children in equal shares. As each such child attains the age of eighteen years or has such incapacity removed, such total amount shall then be divided among the remaining such children, until there is no remaining child of such member under the age of eighteen years or incapacitated, at which time all benefits for children of such member under this subsection shall cease.

3. Upon the death of a member in service or after retirement, a funeral benefit of one thousand dollars shall be paid to the person or entity who provided or paid for the funeral services for such member.