关于平面凸域中诺伊曼问题的波利亚猜想

IF 4.3 3区材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC ACS Applied Electronic Materials Pub Date : 2024-10-10 DOI:10.1002/cpa.22231

N. Filonov

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引用次数: 0

摘要

用平面域中诺伊曼问题谱的计数函数表示.波利亚猜想 .我们证明，对于凸域 .这里是贝塞尔函数的第一个零点 .

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On the Pólya conjecture for the Neumann problem in planar convex domains

Denote by the counting function of the spectrum of the Neumann problem in the domain on the plane. G. Pólya conjectured that . We prove that for convex domains . Here is the first zero of the Bessel function .

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来源期刊

ACS Applied Electronic Materials Multiple-

CiteScore

7.20

自引率

4.30%

发文量

567