Infinite sum and residue theorem

2020 , Vol. 39 >Issue 9: 31 - 33

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Received date: 2019-09-25

Revised date: 2020-02-11

Online published: 2020-09-24

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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

QIU Wei-gang . Infinite sum and residue theorem[J]. College Physics, 2020 , 39(9) : 31 -33 . DOI: 10.16854 /j.cnki.1000-0712.190431

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