OFFSET
1,3
LINKS
David H. Bailey, Jonathan M. Borwein, David Broadhurst and M. L. Glasser, Elliptic integral evaluations of Bessel moments, arXiv:0801.0891 [hep-th], 2008, page 21.
FORMULA
Integral_{0..inf} x^5*BesselI_0(x)^2*BesselK_0(x)^3.
Conjecture: Equals 76/15 t(5,3) - 16/45 t(5,1).
EXAMPLE
1.0432973673868713449189316078947712217566163312269155788688325589866...
MATHEMATICA
t[5, 5] = NIntegrate[x^5*BesselI[0, x]^2*BesselK[0, x]^3, {x, 0, Infinity}, WorkingPrecision -> 103];
RealDigits[t[5, 5]][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, Jun 06 2016
STATUS
approved