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引用次数: 5
摘要
本文研究了线性差分方程Ak(z) f (z+ ck)+Ak−1(z) f (z+ ck−1)+···+A1(z) f (z+ c1)+A0(z) f (z) = 0, Ak(z) f (z+ ck)+Ak−1(z) f (z+ ck−1)+···+A1(z) f (z) f (z) = f (z)的解的增长，其中Ak(z)、···、A0(z) f (z)(c)≡0)是整函数，ck、···、c1是不同的非零复数。
Some properties of meromorphic solutions of higher order linear difference equations
In this paper, we investigate the growth of solutions of the linear difference equations Ak(z) f (z+ ck)+Ak−1(z) f (z+ ck−1)+ · · ·+A1(z) f (z+ c1)+A0(z) f (z) = 0, Ak(z) f (z+ ck)+Ak−1(z) f (z+ ck−1)+ · · ·+A1(z) f (z+ c1)+A0(z) f (z) = F(z), where Ak(z), · · · ,A0(z), F(z)(̸≡ 0) are entire functions and ck, · · · ,c1 are distinct non-zero complex numbers. We extend some precedent results due to Liu and Mao [15].
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