一些差分多项式的零分布

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Applied Mathematics-a Journal Of Chinese Universities Series B Pub Date : 2023-09-12 DOI:10.1007/s11766-023-4179-9

Qian Li, Dan Liu, Zhi-bo Huang

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引用次数: 0

摘要

本文假设a, c∈{0}，cj∈(j = 1,2，⋯，n)不全为零且n≥2，且f(z)是具有Borel有限例外值或无限多个零的有限阶超越整函数，研究了f(z + c)−afn(z)和f(z)f(z + c1)⋯f(z + cn)的差分多项式的零分布。文中还列举了一些例子来说明我们的结果在某种意义上是最好的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Zero distribution of some difference polynomials

In this paper, suppose that a, c ∈ ℂ {0}, c_j ∈ ℂ(j = 1, 2, ⋯, n) are not all zeros and n ≥ 2, and f(z) is a finite order transcendental entire function with Borel finite exceptional value or with infinitely many multiple zeros, the zero distribution of difference polynomials of f(z + c) − afⁿ(z) and f(z)f(z + c₁) ⋯ f(z + c_n) are investigated. A number of examples are also presented to show that our results are best possible in a certain sense.

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来源期刊

Applied Mathematics-a Journal Of Chinese Universities Series B

CiteScore

1.40

自引率

10.00%

发文量

453

审稿时长

>12 weeks