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

doi:10.1016/S0252-9602(12)60118-0

摘要/Abstract

摘要：

We apply Nevanlinna theory of the value distribution of meromorphic func-tions 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.

关键词: meromorphic solution, proximity function, counting function, difference equations

Abstract:

Key words: meromorphic solution, proximity function, counting function, difference equations

中图分类号:

39B32

高凌云. ESTIMATES OF N-FUNCTION AND m-FUNCTION OF MEROMORPHIC SOLUTIONS OF SYSTEMS OF COMPLEX DIFFERENCE EQUATIONS[J]. 数学物理学报(英文版), 2012, 32(4): 1495-1502.

GAO Ling-Yun. ESTIMATES OF N-FUNCTION AND m-FUNCTION OF MEROMORPHIC SOLUTIONS OF SYSTEMS OF COMPLEX DIFFERENCE EQUATIONS[J]. Acta mathematica scientia,Series B, 2012, 32(4): 1495-1502.

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