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2007•Journal of the Australian Mathematical SocietyOpen access

Transcendental meromorphic solutions of some algebraic differential equations

Katsuya Ishizaki, Nobushige Toda

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Abstract

Abstract In this paper we treat transcendental meromorphic solutions of some algebraic differential equations. We consider the number of distinct transcendental meromorphic solutions. Algebraic relations between meromorphic solutions and comparisons of the growth of transcendental meromorphic solutions are also discussed.

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Abstract In this paper we treat transcendental meromorphic solutions of some algebraic differential equations. We consider the number of distinct transcendental meromorphic solutions. Algebraic relations between meromorphic solutions and comparisons of the growth of transcendental meromorphic solutions are also discussed.

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Available abstract

Abstract In this paper we treat transcendental meromorphic solutions of some algebraic differential equations. We consider the number of distinct transcendental meromorphic solutions. Algebraic relations between meromorphic solutions and comparisons of the growth of transcendental meromorphic solutions are also discussed.

Key concepts: Meromorphic function, Transcendental number, Mathematics, Algebraic number, Transcendental function, Differential (mechanical device), Transcendental equation, Algebraic differential equation

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