Ramanujan-inspired series for 1/ involving harmonic numbers
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS（2024）
Abstract
By applying the derivative operator to the known identities from hypergeometric series or WZ pairs, we obtain six series associated with harmonic numbers. Specifically, five of them are Ramanujan-like formulas for 1/pi and the remaining one contains harmonic numbers of order 2. As conclusions, Sun's four conjectural series are proved.
MoreTranslated text
Key words
Ramanujan-like formulas,harmonic numbers,the derivative operator,Dougall's well-poised F-5(4)-series,hypergeometric transformations
AI Read Science
Must-Reading Tree
Example
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined