Abstract
There are several existing ways to find plausible asymptotic representations of the Painlevé transcendents, but it is very hard, if not impossible, to show that these asymptotic representations are the ones of the transcendents unless the uniqueness is proved. In this aricle, we study the fourth general Painlevé transcendents and use connection formula to eliminate a very plausible asymptotic representation of the fourth Painlevé transcendents.
This aricle also has a very important side product. It is well known that each Painlevé equation