中文

某些由超低阶全纯 Entire 函数生成的微分-差分单项式的值分布注记

复变函数 2025-01-28 v1

摘要

f\mathfrak{f}为一个阶数小于1的全纯 Entire 函数。本文旨在研究微分-差分单项式αf(z)q0(f(z+c))q1\alpha \mathfrak{f}(z)^{q_0}(\mathfrak{f}(z+c))^{q_1}的值分布,其中cc为非零复数,q02,q_0\geq2, q11q_1\geq 1为非负整数,α(z)\alpha(z)(≢0,\not\equiv 0,\infty)为f\mathfrak{f}的小函数。

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引用

@article{arxiv.2501.14839,
  title  = {A Note on the value distribution of some differential-difference monomials generated by a transcendental entire function of hyper-order less than one},
  author = {Soumon Roy and Sudip Saha and Ritam Sinha},
  journal= {arXiv preprint arXiv:2501.14839},
  year   = {2025}
}