Within the recommended rites on Fridays, Shaykh al-Tusi, in his book of Misbah al-Mutahajjid, has mentioned the following salwaat from Imam Hasan Askari (peace be upon him):
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اَللَّهُمَّ صَلِّ عَلَىٰ ٱلصِّدِّيقَةِ فَاطِمَةَ ٱلزَّكِيَّةِ
allahumma salli `ala alssiddiqati fatimata alzzakiyyati
O Allah, (please) send blessings upon the veracious and immaculate lady Fatimah
حَبِيبَةِ حَبِيبِكَ وَنَبِيِّكَ
habibati habibika wa nabiyyika
the most beloved by Your dearest and Prophet
وَأُمِّ أَحِبَّائِكَ وَأَصْفِيَائِكَ
wa ummi ahibba'ika wa asfiya'ika
and the mother of Your dearest and choice ones.
ٱلَّتِي ٱنْتَجَبْتَهَا وَفَضَّلْتَهَا
allati intajabtaha wa faddaltaha
You have selected, given preference to,
وَٱخْتَرْتَهَا عَلَىٰ نِسَاءِ ٱلْعَالَمِينَ
wa ikhtartaha `ala nisa'i al`alamina
and chosen her from among the women of the worlds (i.e. ages).
اَللَّهُمَّ كُنِ ٱلطَّالِبَ لَهَا مِمَّنْ ظَلَمَهَا
allahumma kun alttaliba laha mimman zalamaha
O Allah, be her representative against those who wronged her
wa istakhaffa bihaqqiha
and belittled her right.
وَكُنِ ٱلثَّائِرَ ٱللَّهُمَّ بِدَمِ أَوْلاَدِهَا
wa kun alththa'ira allahumma bidami awladiha
Be, O Allah, the One Who shall revenge upon those who shed the blood of her descendants.
اَللَّهُمَّ وَكَمَا جَعَلْتَهَا أُمَّ أَئِمَّةِ ٱلْهُدَىٰ
allahumma wa kama ja`altaha umma a'immati alhuda
O Allah, just as You have chosen her to be the mother of the Leaders of Guidance,
وَحَلِيلَةَ صَاحِبِ ٱللِّوَاءِ
wa halilata sahibi alliwa'i
the wife of the Bearer of the Pennon,
وَٱلْكَرِيمَةَ عِنْدَ ٱلْمَلَإِ ٱلأَعْلَىٰ
walkarimata `inda almala'i al-a`la
and the most honored lady with the Highest Group,
فَصَلِّ عَلَيْهَا وَعَلَىٰ أُمِّهَا
fasalli `alayha wa `ala ummiha
so (please) do endow her and her mother
صَلاَةً تُكَرِّمُ بِهَا وَجْهَ أَبِيهَا
salatan tukarrimu biha wajha abiha
with such blessings that confer honor upon her father
مُحَمَّدٍ صَلَّىٰ ٱللَّهُ عَلَيْهِ وَآلِهِ
muhammadin salla allahu `alayhi wa alihi
Muhammad, Allah's blessings be upon him,
وَتُقِرُّ بِهَا أَعْيُنَ ذُرِّيَّتِهَا
wa tuqirru biha a`yuna dhurriyyatiha
and delight the eyes of her offspring.
وَأَبْلِغْهُمْ عَنِّي فِي هٰذِهِ ٱلسَّاعَةِ
wa ablighhum `anni fi hadhihi alssa`ati
And (please) convey to them, at this very hour,
أَفْضَلَ ٱلتَّحِيَّةِ وَٱلسَّلاَمِ
afdala alttahiyyati walssalami
the most excellent greeting and salutation from me.