- Title
- Ramanujan-type formulae for 1/π: the art of translation
- Creator
- Guillera, Jesús; Zudilin, W.
- Relation
- The Legacy of Srinivasa Ramanujan p. 181-195
- Relation
- http://www.ramanujanmathsociety.org/publications/rms-lecture-notes-series/number-20thelegacyofsrinivasaramanujan
- Publisher
- Ramanujan Mathematical Society
- Resource Type
- book chapter
- Date
- 2013
- Description
- We outline an elementary method for proving numerical hypergeometric identities, in particular, Ramanujan-type identities for 1/π. The principal idea is using algebraic transformations of arithmetic hypergeometric series to translate non-singular points into singular ones, where the required constants can be computed using asymptotic analysis.
- Subject
- Ramanujan-type identities for 1/π; hypergeometric series; arithmetic hypergeometric series; algebraic transformation; asymptotics
- Identifier
- http://hdl.handle.net/1959.13/1042696
- Identifier
- uon:14101
- Identifier
- ISBN:9789380416137
- Language
- eng
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