MR2918147
Shun SHIMOMURA
Shun SHIMOMURA
Truncated Solutions of the Fifth Painlevé Equation
Funkcialaj Ekvacioj. Serio Internacia
54
2011
451--471
http://fe.math.kobe-u.ac.jp/FE/FullPapers/54-3/54_451.pdf
http://www.ams.org/mathscinet-getitem?mr=MR2918147
The fifth Painlevé equation admits several families of solutions behaving exponentially in their proper sectors near infinity, which are called truncated solutions. For these truncated solutions, we discuss the frequency of $a$-points including poles outside the corresponding sectors. Except for some special cases, all the values are equally distributed, and for each $a$ there exist infinitely many $a$-points.
Fifth Painlevé equation, Truncated solutions, Value distribution.
34M55, 34M05, 30D35.
54-451
2011
Truncated Solutions of the Fifth Painlevé Equation
Shun SHIMOMURA
Shun SHIMOMURA
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