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2012•Journal of MathematicsRequires access

GROWTH OF MEROMORPHIC SOLUTIONS OF CERTAIN DIFFERENCE EQUATIONS

Chen Meiru, Yuxian Chen, Zong-Xuan Chen

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Abstract

In this paper,we investigate order of growth of meromorphic solutions and non-existence of admissible transcendental solutions of some difference equations.Using Nevanlinna basic theory,we estimate the order and lower-order of meromorphic solutions when p(z) is polynomial.Some examples are also given to show that results are sharp.

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What this paper is about

In this paper,we investigate order of growth of meromorphic solutions and non-existence of admissible transcendental solutions of some difference equations.Using Nevanlinna basic theory,we estimate the order and lower-order of meromorphic solutions when p(z) is polynomial.Some examples are also given to show that results are sharp.

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Available abstract

In this paper,we investigate order of growth of meromorphic solutions and non-existence of admissible transcendental solutions of some difference equations.Using Nevanlinna basic theory,we estimate the order and lower-order of meromorphic solutions when p(z) is polynomial.Some examples are also given to show that results are sharp.

Key concepts: Meromorphic function, Mathematics, Transcendental number, Nevanlinna theory, Order (exchange), Polynomial, Pure mathematics, Mathematical analysis

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