A particular proclamation to call all Muslims to mosque for offering prayer is called the Azaan.
Yes, there are specified words of Azaan:
اللهُ أَكْبَرُ اللهُ اكْبَرُ اللَّهُ أَكْبَرُ اللَّهُ أَكْبَرُ أَشْهَدُ أَنْ لَا إِلَهَ إِلَّا اللهُ ، أَشْهَدُ أَنْ لَا إِلَهَ إِلَّا اللهُ اشْهَدُ أَنَّ مُحَمَّدًا رَسُولُ اللَّهِ أَشْهَدُ أَنَّ مُحَمَّدًا رَسُولُ اللَّهِ حَى عَلَى الصلوة ، حَيَّ عَلَى الصلوة حَى عَلَى الْفَلَاحِ ، حَيَّ عَلَى الْفَلَاحِ ، اللهُ أَكْبَرُ الله اكبر لا اله إلا الله
Allaho Akbar. Allaho Akbar. Allaho Akbar. Allaho Akbar. Ash-hadu Allaaa Ilaaha IllalLaah. Ash-hadu Allaaa Ilaaha IllalLaah. Ash-hadu Anna Mohammedar Rasoolul Laah. Ash-hadu Anna Mohammedar Rasoolul Laah. Ash-hadu Anna Mohammedar Rasoolul Laah. Haiey-ya 'Alas-Salaah.Haiey-ya 'Alas-Salaah. Haiey-ya 'Alal Falaah. Haiey-ya 'Alal Falaah. Allaho Akbar,Allaho Akbar. Laa Ilaaha IllalLaah.
Yes, except for Fajr Azaan where the words "asSalaatu Khaierum Minan Naum" (prayer is better than sleep) are added.
One should stand in ablution, face the Qibla, place index fingers in ears, and proclaim loudly.
The one who proclaims Azaan is called a Mu'azzin.
One should stop all work, listen attentively, and respond accordingly.
Repeat the Mu'azzin's words except for "Haie-ya 'AlasSalaah" and "Haie-ya 'Alal-Falaa", where one should say "Laa Haula wa-Laa Quwwata Illaa Billaah".
Invoke blessings upon the Prophet and say "Qurratu 'Aienee Beka Yaa Rasoolal Laah..." while kissing the thumbs and touching the eyes.
Say "Sadaqta wa-Bararta wa-Bil-haqi Nataqta".
Recite Durood Sharif followed by:
Allaa-humma Rabba Haazihid-Da'watit-Taaammati was-Salaatil Qaa-imati Aati Saiey-yidinaa Mohammeda nil-Waseelata wal-Fadeelata wad-Darajatar Rafee'ata wab-As-hu MaqaamamMahmooda nil-Lazee wa'Attahu waj'alnaa Shafaa'atehee Yaumal Qi-yaamah. Innaka Laa Tukhliful-Mee'aad.
O Allah, the Lord of this perfect call and of the Prayer to be established! Grant our leader Hazrat Mohammed, the highest point in Paradise, and Excellence, and the highest rank, and install him on the praiseworthy position which You have promised him - and grant us his intercession on the Day of Resurrection. Indeed You do not go against Your promise.)