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https://doi.org/10.1016/j.aim.2003.07.012
Title: | Domb's numbers and Ramanujan-Sato type series for 1/π | Authors: | Chan, H.H. Chan, S.H. Liu, Z. |
Keywords: | Clausen's identity Differential equations Domb's numbers Hypergeometric series Modular equations Ramanujan-type series Theta functions |
Issue Date: | 20-Aug-2004 | Citation: | Chan, H.H., Chan, S.H., Liu, Z. (2004-08-20). Domb's numbers and Ramanujan-Sato type series for 1/π. Advances in Mathematics 186 (2) : 396-410. ScholarBank@NUS Repository. https://doi.org/10.1016/j.aim.2003.07.012 | Abstract: | In this article, we construct a general series for 1/π. We indicate that Ramanujan's 1/π-series are all special cases of this general series and we end the paper with a new class of 1/π-series. Our work is motivated by series recently discovered by Takeshi Sato. © 2003 Elsevier Inc. All rights reserved. | Source Title: | Advances in Mathematics | URI: | http://scholarbank.nus.edu.sg/handle/10635/103157 | ISSN: | 00018708 | DOI: | 10.1016/j.aim.2003.07.012 |
Appears in Collections: | Staff Publications |
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