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

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

Abstract

Abstract:

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.

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

CLC Number:

39B32

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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