English Longbows were typically selfbows made of yew, and were pretty effective at what they did, however, I’ve heard before that while composite bows, like the Mongolian, could have less raw power, but were more effective when it came to their power, and allowed relatively longer ranges and stronger shots for smaller poundages.
With that in mind, would it be possible to build a composite longbow, and would they present any significant improvements on the longbow’s performance? And even then, would they be worth their materials and extended labour when compared to a simple composite bow or a longbow?
EDIT - Also, assume late medieval technology and that you can refer to the type(s) of composite bow you find most suited for improving a longbow’s capabilities, whichever these may be.