- Title
- Moments of Ramanujan's generalized elliptic integrals and extensions of Catalan's constant
- Creator
- Borwein, D.; Borwein, J. M.; Glasser, M. L.; Wan, J. G.
- Relation
- Journal of Mathematical Analysis and Applications Vol. 384, Issue 2, p. 478-496
- Publisher Link
- http://dx.doi.org/10.1016/j.jmaa.2011.06.001
- Publisher
- Elsevier
- Resource Type
- journal article
- Date
- 2011
- Description
- We undertake a thorough investigation of the moments of Ramanujanʼs alternative elliptic integrals and of related hypergeometric functions. Along the way we are able to give some surprising closed forms for Catalan-related constants and various new hypergeometric identities.
- Subject
- elliptic integrals; hypergeometric functions; moments; Catalan’s constant
- Identifier
- http://hdl.handle.net/1959.13/1038088
- Identifier
- uon:13513
- Identifier
- ISSN:0022-247X
- Rights
- © 2011. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/.
- Language
- eng
- Full Text
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