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Experimental Mathematics Volume 15, 2006 - Issue 1
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Original Article

A New Method to Obtain Series for 1/π and 1/π2

Jesús Guillera Av. Cesáreo Alierta 31 esc. izda 4°.A, Zaragoza, 50008, Spain
Pages 83-89 | Published online: 30 Jan 2011

Citations (12)

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Read on this site (1)

Nayandeep Deka Baruah, Bruce C. Berndt & Heng Huat Chan. (2009) Ramanujan's Series for 1/π: A Survey. The American Mathematical Monthly 116:7, pages 567-587.
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Articles from other publishers (11)

JOHN M. CAMPBELL. (2023) ON GUILLERA’S -SERIES FOR. Bulletin of the Australian Mathematical Society, pages 1-8.
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Wenchang Chu. (2020) Infinite series identities derived from the very well-poised $$\Omega $$-sum. The Ramanujan Journal 55:1, pages 239-270.
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H. M. Srivastava, Yashoverdhan Vyas & Kalpana Fatawat. (2017) Extensions of the classical theorems for very well-poised hypergeometric functions. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 113:2, pages 367-397.
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Bing He. (2016) Hypergeometric-like series for arising from Ramanujan’s quartic theory of elliptic functions . Journal of Approximation Theory 205, pages 93-101.
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David H. Bailey & Jonathan M. BorweinNayandeep Deka Baruah, Bruce C. Berndt & Heng Huat Chan. 2016. Pi: The Next Generation. Pi: The Next Generation 303 325 .
Chuanan Wei & Dianxuan Gong. (2013) Extensions of Ramanujanʼs two formulas for . Journal of Number Theory 133:7, pages 2206-2216.
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Nayandeep Deka Baruah & Bruce C. Berndt. 2013. Combinatory Analysis. Combinatory Analysis 15 42 .
Wenchang Chu. (2011) Dougall’s bilateral ₂𝐻₂-series and Ramanujan-like 𝜋-formulae. Mathematics of Computation 80:276, pages 2223-2251.
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Nayandeep Deka Baruah & Bruce C. Berndt. (2009) Eisenstein series and Ramanujan-type series for 1/π. The Ramanujan Journal 23:1-3, pages 17-44.
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Nayandeep Deka Baruah & Bruce C. Berndt. (2009) Ramanujan's Eisenstein series and new hypergeometric-like series for . Journal of Approximation Theory 160:1-2, pages 135-153.
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Nayandeep Deka Baruah & Bruce C. Berndt. (2008) Ramanujan's series for arising from his cubic and quartic theories of elliptic functions . Journal of Mathematical Analysis and Applications 341:1, pages 357-371.
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