Abstract
The aim of this note is to provide interesting applications of some of Ramanujan’s summations. An interesting generalization of one of Ramanujan’s summations is also provided.
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The work of D. Lim was partially supported by the National Research Foundation of Korea (NRF) Grant funded by the Korean government (MSIT) NRF-2021R1C1C1010902.
Deceased—Richard B. Paris, Passed away on July 8, 2022.
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Rathie, A.K., Lim, D. & Paris, R.B. A note on certain summations due to Ramanujan with application and generalization. Ramanujan J 62, 583–592 (2023). https://doi.org/10.1007/s11139-023-00733-1
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DOI: https://doi.org/10.1007/s11139-023-00733-1
Keywords
- Generalized hypergeometric function
- Classical summation theorems
- Clausen’s formula
- Ramanujan’s summations