Analysis extends Ramanujan's identity for a new series representation for π, suggesting further implications.
We extend a summation identity involving the Pochhammer symbol published by Ramanujan in 1915 in the problem section of the “Journal of the Indian Mathematical Society”. Moreover, we offer some applications of our theorem. Among others, we present a new series representation for 1/π.
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Horst Alzer (2025) studied this question.
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