Shun Shimomura
Abstract
For transcendental meromorphic solutions of the fourth Painleve 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.
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For transcendental meromorphic solutions of the fourth Painleve 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.
Key concepts: Meromorphic function, Transcendental number, Transcendental function, Mathematics, Rational function, Transcendental equation, Entire function, Pure mathematics