Truncated Solutions of Painleve Equation Pv

被引:1
|
作者
Costin, Rodica D. [1 ]
机构
[1] Ohio State Univ, 231 W 18th Ave, Columbus, OH 43210 USA
关键词
Painleve trascendents; the fifth Painleve equation; truncated solutions; poles of truncated solutions; LINEAR STOKES PHENOMENON; TRITRONQUEE SOLUTIONS; TRONQUEE SOLUTIONS; CONNECTION FORMULAS; TRANSCENDENT; UNIQUENESS; EXISTENCE; SYSTEMS;
D O I
10.3842/SIGMA.2018.117
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We obtain convergent representations (as Borel summed transseries) for the five one-parameter families of truncated solutions of the fifth Painleve equation with nonzero parameters, valid in half planes, for large independent variable. We also find the position of the first array of poles, bordering the region of analyticity. For a special value of this parameter they represent tri-truncated solutions, analytic in almost the full complex plane, for large independent variable. A brief historical note, and references on truncated solutions of the other Painleve equations are also included.
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页数:14
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