Writing the Qur’an by one in janābah via telephone and computer

Answer (by Allah’s enabling): Janābah or menstruation is a cause for the prohibition of reciting the Qur’an, touching it, and directly handling it. The scholars have assimilated writing the Qur’an with a pen and the like to recitation, for the pen is one of the two tongues.
As for writing the Qur’an by means of a computer or telephone, this is among newly arising issues for which no fatwā was issued by earlier scholars.
 Therefore, we could attach it to pen-writing by way of analogy (qiyās), or include it under the general prohibition of writing for one in janābah or a menstruating woman.
 And we could say: it is permissible for the menstruating woman and the person in janābah to write the Qur’an by means of the computer or telephone, because the alphabetic letters are already present in the device; the menstruating woman and the person in janābah merely cause one letter to join another on the screen of the computer or telephone, without either of them directly handling the letters or the screen.
 From this it appears that writing via computer/telephone differs from writing with a pen: the one writing with a pen is the very person who brings the writing into existence with his pen, whereas the one “writing” by means of the computer does not bring the writing into existence; rather, the writing exists in the computer in potential, and what the user does is only to prompt the computer to write and to assemble the letters.
On this basis, it is permissible for the person in janābah and the menstruating woman to send what is written of the Qur’an from the computer to a printer, and to copy and transfer that from one device to another—because there is no direct handling by them: it is the computer that writes, transfers, copies, and prints, while the menstruating woman and the person in janābah merely prompt it with electronic commands. The mechanism that writes, copies, transfers, and prints is inside the computer and is not directly handled by them.
Accordingly, we say—and we choose—the permissibility of writing the Qur’an on the telephone and the computer for the menstruating woman and the person in janābah.
Likewise, it is permissible for the menstruating woman and the person in janābah to open a Qur’ān recitation on the mobile phone or computer, listen to it, and carry the devices while the recitation is playing; this is like a man carrying another man who is reciting the Qur’an.
Likewise, it is permissible for the menstruating woman and the person in janābah to open the muṣḥaf stored in the mobile phone or computer and to carry that, due to their not directly handling the muṣḥaf—given the presence of the glass barrier and the outer casing.
Source : Min Thimār al-ʿIlm wa al-Ḥikmah vol.1