|Table of Contents|

Method of the Complex Analysis to Some Series(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2014年04期
Page:
20-
Research Field:
数学
Publishing date:

Info

Title:
Method of the Complex Analysis to Some Series
Author(s):
Xu Ning
Department of Foundational Courses,PLA Nanjing Institute of Politics,Nanjing 210003,China
Keywords:
contour integral; the residue theorem; summation of series; Riemann zeta function
PACS:
O173.1
DOI:
-
Abstract:
Combining the residue theorem with elementary calculus,this paper is concerned with the summation of some series.

References:

[1] Ahlfors L V.Complex Analysis[M].3rd ed.New York:McGraw-Hill Companies,Inc,1979:101-159.
[2]Conway J B.Functions of One Complex Variable[M].2nd ed.New York:Springer-Verlag,1978:58-127.
[3]许宁.黎曼函数的两种求法[J].高等数学研究,2013,16(3):13-15.
[4]Roy R.The discovery of the series formula for π by Leibniz,Gregory and Nilakantha[J].Math Mag,1990,63:291-306.

Memo

Memo:
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Last Update: 2014-12-31