Meromorphic solutions of difference Painlevé equations

Shun Shimomura

研究成果: Article査読

2 被引用数 (Scopus)

抄録

We show that, under certain conditions, some difference Painlevé equations have nontrivial meromorphic solutions in the whole complex plane. These meromorphic solutions are obtained by analytic continuation of asymptotic solutions given in sectors of zero opening angle. The existence of these asymptotic solutions is shown by using fundamental matrix solutions of the associated linear systems with double unit characteristic roots and with coefficients expressed by asymptotic series in fractional powers.

本文言語English
論文番号315213
ジャーナルJournal of Physics A: Mathematical and Theoretical
42
31
DOI
出版ステータスPublished - 2009 11 20

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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