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Hypergeometric identities for 10 extended Ramanujan-type series

✍ Scribed by Jesús Guillera


Publisher
Springer US
Year
2008
Tongue
English
Weight
314 KB
Volume
15
Category
Article
ISSN
1382-4090

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On an Identity of Ramanujan Based on The
✍ Li-Chien Shen 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 205 KB

Bhargava and F. Garvan provided the first proof to an identity of Ramanujan. Their proof, which is based on various modular identities, is quite difficult and complicated. In this paper, we give a much simpler proof of this identity by converting it into an identity involving the classical elliptic