The zeros of difference of meromorphic solutions for the difference Riccati equation

Advances in Difference Equations(2015)

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Abstract
In this paper, we mainly investigate some properties of the transcendental meromorphic solution f(z) for the difference Riccati equation f(z+1)=p(z)f(z)+q(z)/f(z)+s(z) . We obtain some estimates of the exponents of the convergence of the zeros and poles of f(z) and the difference Δ f(z)=f(z+1)-f(z) .
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Key words
30D35, 39B12, difference Riccati equation, Borel exceptional value, admissible meromorphic solution
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