test.sh

function curry() {
    exportfun=$1; shift
    fun=$1; shift
    params=$*
    cmd=$"function $exportfun() {
        more_params=\$*;
        $fun $params \$more_params;
    }"
    eval $cmd
}

function arrays_sum() {
    # Calculate the sum of all items in all input arrays
    sum=0
    for array in "$@"; do
        for x in "${array[@]}"; do
            sum=$((sum + x))
        done
    done
    echo "$sum"
} 

array1=(1 2 3)
array2=(3 4 5)
array3=(6 7 8)

echo raw
arrays_sum "${array1[@]}"
arrays_sum "${array1[@]}" "${array2[@]}"
arrays_sum "${array1[@]}" "${array2[@]}" "${array3[@]}"
echo

echo curry
curry arrays_sum1 arrays_sum "${array1[@]}"
arrays_sum1
arrays_sum1 "${array2[@]}"
arrays_sum1 "${array2[@]}" "${array3[@]}"
echo

shopt -s expand_aliases

echo alias expanded at use time
alias arrays_sum2='arrays_sum "${array1[@]}"'
arrays_sum2
echo

echo changed array1
array1=(0)
arrays_sum1
arrays_sum2
echo

echo alias expanded at definition time
alias arrays_sum3="arrays_sum \"\${array1[@]}\""
arrays_sum3
echo

echo changed again
array1=(10 11 12)
arrays_sum3
arrays_sum