How to get current displayed date range in full calendar jquery

$('#mycalendar').fullCalendar('getView').start.format('DD MMM');
$('#mycalendar').fullCalendar('getView').end.format('DD MMM');

Try this.

Add this function and call this. It will help you.

  function GetCalendarDateRange() {
        var calendar = $('#calendar').fullCalendar('getCalendar');
        var view = calendar.view;
        var start = view.start._d;
        var end = view.end._d;
        var dates = { start: start, end: end };
        return dates;
    }