an:01883709
Zbl 1025.34091
Lu, Youmin
On the asymptotic representation of the solutions to the fourth general Painlev?? equation
EN
Int. J. Math. Math. Sci. 2003, No. 13, 845-851 (2003).
00093559
2003
j
34M55
Painlev?? transcendents; asymptotics; solutions
Summary: There have been many results on the asymptotics of the Painlev?? transcendents in recent years, but the asymptotics of the fourth Painlev?? transcendent has not been studied much. In this note, we study the general fourth Painlev?? equation and develop an asymptotic representation of a group of its solutions as the independent variable approaches infinite along a straight line.