Change represented Days and Months in DatePicker

I need to add Jalali Calendar to my JavaFX application. I have already extended Chronology class and have added JalaliChronology to my application. When I use the following block of code, it correctly detects what day of what month of what year we're at.

DatePicker datePicker = new DatePicker();

Locale.setDefault(new Locale("fa"));
datePicker.setChronology(JalaliChronology.INSTANCE);

But, I need to use the actual name of months and days used in Jalali Calendar. Right now I see January as the first month of each year while I want to replace it with فروردین.

the following picture that I borrowed from internet tells me that it should be doable but I couldn't yet figure out how.

Also, I know that I can modify the display text of each cell inside my calendar using following block

final Callback<DatePicker, DateCell> dayCells = new Callback<DatePicker, DateCell>()
{
    public DateCell call(final DatePicker datePicker)
    {
        return new DateCell()
        {
            @Override
            public void updateItem(LocalDate item, boolean empty)
            {
                ...
            }
        };
    }
};

Is there any way by which I can also change the display text for January, February, ..., Sat, Sun, ... and Fri in my Jalali Calendar?

EDIT: here is a screenshot of what I already have. After setting the Locale it uses Farsi but, what I see is simply how January is spelled in Farsi (which is ژانویه). It doesn't use the actual name of the month in Jalali Calendar which is فروردین