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Applying Nevanlinna theory of the value distribution of meromorphic functions,we mainly study the growth and some other properties of meromorphic solutions of the type of system of complex differential and difference equations of the following form∑nj=1aj(z)f1(λj1)(z+cj) = R2(z, f2(z)),∑nj=1βj(z)f2(λj2)(z+cj)=R1(Z,F1(z)).(*)where λij(j = 1, 2, ···, n; i = 1, 2) are finite non-negative integers, and cj(j = 1, 2, ···, n)are distinct, nonzero complex numbers, αj(z), βj(z)(j = 1, 2, ···, n) are small functions relative to fi(z)(i = 1, 2) respectively, Ri(z, f(z))(i = 1, 2) are rational in fi(z)(i = 1, 2)with coefficients which are small functions of fi(z)(i = 1, 2) respectively. 相似文献
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Haichou 《数学年刊B辑(英文版)》2016,37(5):719-728
Applying Nevanlinna theory of the value distribution of meromorphic
functions, the author studies some properties of Nevanlinna counting
function and proximity function of meromorphic solutions to a type
of systems of complex differential-difference equations.
Specifically speaking, the estimates about counting function and
proximity function of meromorphic solutions to systems of complex
differential-difference equations can be given. 相似文献
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