Title of article
Moments of Ramanujanʼs generalized elliptic integrals and extensions of Catalanʼs constant
Author/Authors
Borwein، نويسنده , , D. and Borwein، نويسنده , , J.M. and Glasser، نويسنده , , M.L. and Wan، نويسنده , , J.G.، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2011
Pages
19
From page
478
To page
496
Abstract
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.
Keywords
Hypergeometric functions , Elliptic integrals , Moments , Catalan?s constant
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2011
Journal title
Journal of Mathematical Analysis and Applications
Record number
1562182
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