Wiman-Valiron method for difference equations
Wiman-Valiron method for difference equations
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DOI：
10.1017/s0027763000008916
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发表时间：
2004
影响因子：
0.8
通讯作者：
K. Ishizaki;N. Yanagihara
中科院分区：
文献类型：
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作者：
K. Ishizaki;N. Yanagihara
设f(z)是一个小于1/2阶的完整函数。我们考虑了Wiman-Valiron理论的一个类比，将f(z)的幂级数改写为二项式级数。作为一个应用，证明了线性差分方程的超越全解f(z)的阶为χ 0。
Abstract Let f(z) be an entire function of order less than 1/2. We consider an analogue of the Wiman-Valiron theory rewriting power series of f(z) into binomial series. As an application, it is shown that if a transcendental entire solution f(z) of a linear difference equation is of order χ 0.