HypergeometricPFQ - simplification

*To*: mathgroup at smc.vnet.net*Subject*: [mg89153] HypergeometricPFQ - simplification*From*: janos <janostothmeister at gmail.com>*Date*: Tue, 27 May 2008 07:15:11 -0400 (EDT)

Could anyone show using Mathematica that the expression -2/27 + (253*HypergeometricPFQ[{-1/2, -1/6, 1/6}, {4/3, 5/3}, -1/729])/ 108 - (911*HypergeometricPFQ[{1/2, 5/6, 7/6}, {7/3, 8/3}, -1/729])/ 6298560 + (73*HypergeometricPFQ[{3/2, 11/6, 13/6}, {10/3, 11/3}, -1/729])/ 9795520512 is equal to (-2*(-1 + 10*Sqrt[10]))/27? (Using, say, TraceInternal, to see what is going on.) Thank you, Janos