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
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
Journal title :
Journal of Mathematical Analysis and Applications
