The zeros of difference of meromorphic solutions for the difference Riccati equation
Advances in Difference Equations(2015)
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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