Abstract
Consider a linear q-difference equation: a(z)f(z) = b(z)f(qz) + c(z), 0 q| a(z), b(z), c(z) ∈ C[z]. We suppose that it admits a transcendental meromorphic solution f (z). Here we will determine the counting function N(r, f), and investigate the deficiency property of f (z). Finally, we give some examples.
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