بسم الله الرحمن الرحيم
Shaykh Salih states: Reciting the Quran while bowing or prostrating is prohibited due to what is narrated upon the authority of Ibn Abbas where the Prophet -sallahu alayhi wa salaam- said, “I prohibit you from reciting the Quran while bowing or prostrating.” The hadith is collected by Muslim. There’s another upon the authority of Ali wherein he said, “The Messenger -sallahu alayhi wa salaam- prohibited me from reciting the Quran while bowing and prostrating.” Collected by Muslim and others.
Translated by Najeeb Al Anjelesi
Source: المنظار في بيان كثير من الأخطاء الشائعة