ESTIMATES OF N-FUNCTION AND m-FUNCTION OF MEROMORPHIC SOLUTIONS OF SYSTEMS OF COMPLEX DIFFERENCE EQU

来源 :The 20th International Conference on Difference Equations an | 被引量 : 0次 | 上传用户：jitic

【摘要】

：

　　We apply Nevanlinna theory of the value distribution of meromorphic functions to study the properties of Nevanlinna counting function and proximity function

【作者】

：

高凌云

【出处】

：

The 20th International Conference on Difference Equations an

【发表日期】

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2014年7期

【关键词】

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meromorphic solution proximity function counting function difference equations

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　　We apply Nevanlinna theory of the value distribution of meromorphic functions to study the properties of Nevanlinna counting function and proximity function of meromorphic solutions of a type of systems of complex difference equations.Our results can give estimates on the proximity function and the counting function of solutions of systems of difference equations.This implies that solutions have a relatively large number of poles.It extend some result concerning difference equations to the systems of difference equations.

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ESTIMATES OF N-FUNCTION AND m-FUNCTION OF MEROMORPHIC SOLUTIONS OF SYSTEMS OF COMPLEX DIFFERENCE EQU

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