Journal of East China Normal University(Natural Science) >

2015 , Vol. 2015 >Issue 1: 103 - 113

DOI: https://doi.org/10.3969/j.issn.1000-5641.2015.01.012

Article

Series expansions for three familiar irrational numbers with free parameters

  • WEI Chuan-An ,
  • GONG Dian-Xuan ,
  • WANG Qin
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  • 1. Department of Information Technology, Hainan Medical College, Haikou 571199, China;
    2. College of Science, Hebei United University, Tangshan Hebei 063009, China

Received date: 2013-11-01

  Online published: 2015-03-29

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Abstract

√2, √3and √5are important irrational numbers, but the series expansions for them are rare in the literature. In order to fill the gap, we established numerous series expansions for these numbers with free parameters in terms of the hypergeometric method.

Key words： series expansions for √2; series expansions for √3; series expansions for √5

Cite this article

WEI Chuan-An , GONG Dian-Xuan , WANG Qin . Series expansions for three familiar irrational numbers with free parameters[J]. Journal of East China Normal University(Natural Science), 2015 , 2015(1) : 103 -113 . DOI: 10.3969/j.issn.1000-5641.2015.01.012

References

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LIU Z. A summation formula and Ramanujan type series [J]. Journal of Mathematical Analysis and Applications, 2012, 389: 1059-1065.
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