Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (4): 1495-1502.doi: 10.1016/S0252-9602(12)60118-0

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

GAO Ling-Yun   

  1. Department of Mathematics, Jinan University, Guangzhou 510632, China
  • Received:2010-09-10 Revised:2011-08-25 Online:2012-07-20 Published:2012-07-20
  • Supported by:

    Project Supported by the Natural Science Foun-dation of China (10471065) and the Natural Science Foundation of Guangdong Province (04010474).

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
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