Journal of Northeastern University(Natural Science)

Journal of Northeastern University ›› 2010, Vol. 31 ›› Issue (7): 1061-1064.DOI: -

• OriginalPaper • Previous Articles    

A combinatorial summation method for a class of multiple series

Zhang, Xiang-De (1); Tang, Qing-Song (1); Zhu, He-Gui (1); Yang, Lian-Ping (1)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110004, China
  • Received:2013-06-20 Revised:2013-06-20 Online:2010-07-15 Published:2013-06-20
  • Contact: Tang, Q.-S.
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Abstract: Rao and Subbarao gave a transformation formula of triple series by complicated elementary operation. Based on the combinatorial method, the Bell polynomials are combined with Stirling number to give a brief proof to the transformation formula for a class of multiple series based on Riemann-Zeta function. The formula is available to not only get the classical conclusions offered by Rao and Subarao as particular cases, but also give some near findings.

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