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2017 >Issue 4: 52 - 63,70

DOI: https://doi.org/10.3969/j.issn.1000-5641.2017.04.005

Mathematics

Some applications of Dougall's 5F4 summation

  • NGUYEN Ngoc Thinh
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  • Department of Mathematics, East China Normal University, Shanghai 200241, China

Received date: 2016-10-19

  Online published: 2017-07-20

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Abstract

Dougall's 5F4 summation formula plays an important role in the theory of special functions, and its various applications have been widely discussed. Using Dougall's 5F4 summation formula, we derive some new summation formulas, from which new Ramanujan type series for 1/π and 1/π2 are obtained.

Key words： gamma function; hypergeometric functions; Dougall's 5F4 summation; Ramanujan type series

Cite this article

NGUYEN Ngoc Thinh . Some applications of Dougall's 5F4 summation[J]. Journal of East China Normal University(Natural Science), 2017 , (4) : 52 -63,70 . DOI: 10.3969/j.issn.1000-5641.2017.04.005

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