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Let A 0, A 1, …, A k − 1, F ≢ 0 be meromorphic functions of finite order.
Lemma 2.14 Let B j ( z ), j = 0, 1, …, k − 1 be meromorphic functions of finite order.
Lemma 2.8 Let H j ( z ) ( j = 0, 1, …, k − 1 ) be meromorphic functions of finite order.
Let (A_{0} z), A_{1} z), ldots, A_{k-1} z)) be meromorphic functions of finite order.
Let (A_{0} z), A_{1} z), ldots, A_{k-1} z)) A_{k-1} znotequiv0) be meromorphic functions of finite order.
Let (p z)), (q z)), (s z)) be meromorphic functions of finite order, and let (p z f z)+q z)), (f z)+s z)) be relatively prime polynomials in f.
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From (4.1), we see that F z + c) and Δ c F are meromorphic functions of finite order, and obviously S r, F z)) = S r, F z + c)) = S r, f).
Let G ( z ) = ∑ j = 1 k B j ( z ) e P j ( z ), where P j ( z ) = α j n z n + ⋯ + α j 0 are polynomials with degree n (≥1), B j (≢0) are meromorphic functions of order ρ ( B j ) < n.
Let f ( z ) be a meromorphic function of finite order ρ, ε be a positive constant, η 1 and η 2 be two distinct nonzero complex constants.
Let (cin mathbb{C}), k be a positive integer, and f be a meromorphic function of finite order.
Let f be a meromorphic function of finite order, and c be a nonzero complex constant.
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