Submitted:
10 September 2026
Posted:
11 September 2026
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Abstract
By utilizing two hypergeometric summation identities, we extend two well-known Ramanujan series for 1/π by making each of them a member of an infinite family of series. We also find the corresponding families involving harmonic numbers and odd harmonic numbers.
Keywords:
Ramanujan series
; Ramanujan-like series
; harmonic number
; odd harmonic number
; hyper-geometric series
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