On deficiencies of small functions for Painlevé transcendents of the fourth kind

Shun Shimomura

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6 Citations (Scopus)


For transcendental meromorphic solutions of the fourth Painlevé equation, we estimate deficiencies of small functions. For every rational solution, we find all the transcendental meromorphic solutions whose solution curves do not intersect that of the rational solution.

Original languageEnglish
Pages (from-to)109-120
Number of pages12
JournalAnnales Academiae Scientiarum Fennicae Mathematica
Issue number1
Publication statusPublished - 2002 Nov 1


ASJC Scopus subject areas

  • Mathematics(all)

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