无穷求和与留数定理

doi:10.16854 /j.cnki.1000-0712.190431

Abstract

Abstract: The contour integral of a complex function on an infinite square is approximately the same as another

complex function. The analytical expression of infinite summation of all the zeroes of some transcendental equation is

derived by residue theorem，which is verified by the numerical calculation.

Key words: infinite sum, residue theorem, transcendental equation

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QIU Wei-gang. Infinite sum and residue theorem[J].College Physics, 2020, 39(9): 31-33.

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URL: https://dxwl.bnu.edu.cn/EN/10.16854 /j.cnki.1000-0712.190431

https://dxwl.bnu.edu.cn/EN/Y2020/V39/I9/31

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