Normally I am cautious about adding new functionality but I think that this case could be an exception. Since we are already doing the calculations for the week numbering, it is probably not too much more to compute the "week year".

This might be a good first time PR for someone... 🤔

Hi, I'd like to work on this issue.

@prashant-tholia - great! Please make sure you have read https://github.com/angular/angular/blob/master/CONTRIBUTING.md.
The PR will need to include unit tests and documentation before it can be merged.

Let me know if you need help getting started.

Thanks @petebacondarwin! I'll make sure to fulfill all mentioned guidelines and requirements.

Hello, can I also be work on this issue with @prashant-tholia since this is a good first issue and I am an open source beginner.

@prashanttholia, Not to be pedantic or anything, but I think the 'r' placeholder is a mistake here. CLDR/Unicode defines this in http://www.unicode.org/reports/tr35/tr35-dates.html#Date_Field_Symbol_Table as

Related Gregorian year (numeric). For non-Gregorian calendars, this corresponds to the extended Gregorian year in which the calendar’s year begins. Related Gregorian years are often displayed, for example, when formatting dates in the Japanese calendar — e.g. “2012(平成24)年1月15日” — or in the Chinese calendar — e.g. “2012壬辰年腊月初四”. The related Gregorian year is usually displayed using the "latn" numbering system, regardless of what numbering systems may be used for other parts of the formatted date. If the calendar’s year is linked to the solar year (perhaps using leap months), then for that calendar the ‘r’ year will always be at a fixed offset from the ‘u’ year. For the Gregorian calendar, the ‘r’ year is the same as the ‘u’ year. For ‘r’, all field lengths specify a minimum number of digits; there is no special interpretation for “rr”.

The ISO week year is actually 'Y', 'YY', 'YYY', 'YYYY', etc.:

Year in “Week of Year” based calendars in which the year transition occurs on a week boundary; may differ from calendar year ‘y’ near a year transition. This numeric year designation is used in conjunction with pattern character ‘w’ in the ISO year-week calendar as defined by ISO 8601, but can be used in non-Gregorian based calendar systems where week date processing is desired. The field length is interpreted in the same was as for ‘y’; that is, “yy” specifies use of the two low-order year digits, while any other field length specifies a minimum number of digits to display.

@rubenprins, I apologize for the late response. I think that formats should be consistent with or as close as possible to the standard. I agree that 'Y' would be a more appropriate choice to represent week numbering year.

@petebacondarwin, please let us know what you think and whether it needs to be updated?