I swear, hours and hours of contemplating this phrase and learning what I can about it and I still learn more.
I was watching a small course and the way he explained "ar-rahman ir-rahim" was like this:
- ar-rahman describes the intensity of Allah's mercy
- ir-rahim describes the continuity of Allah's mercy
Allah is not only extremely merciful, this mercy is as well endless.
One possible translation:
In the name of Allah, the most intensely merciful, whose mercy is without end.
See also: Next post about God's mercy and third post about God's mercy.