A formula for a quartic integral: a survey of old proofs and some new ones

T Amdeberhan, VH Moll - The Ramanujan Journal, 2009 - Springer
The Ramanujan Journal, 2009Springer
A formula for a quartic integral: a survey of old proofs and some new ones Page 1 Ramanujan
J (2009) 18: 91–102 DOI 10.1007/s11139-007-9041-9 A formula for a quartic integral: a survey
of old proofs and some new ones Tewodros Amdeberhan · Victor H. Moll Received: 14
November 2006 / Accepted: 5 June 2007 / Published online: 12 October 2007 © Springer
Science+Business Media, LLC 2007 Abstract We discuss several existing proofs of the value of
a quartic integral and present a new proof that evolved from rational Landen transformations …
Abstract
We discuss several existing proofs of the value of a quartic integral and present a new proof that evolved from rational Landen transformations. We include our personal renditions as related to the history of these particular computations.
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