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Decimal expansion of the unique real root of the Chi function.
1

%I #12 Feb 16 2025 08:33:06

%S 5,2,3,8,2,2,5,7,1,3,8,9,8,6,4,4,0,6,4,5,0,9,5,8,2,9,4,3,8,3,2,5,5,6,

%T 6,7,6,1,5,2,4,8,0,3,0,0,6,7,0,0,7,3,9,0,8,6,5,3,0,2,5,0,5,6,2,3,0,4,

%U 4,1,9,4,4,7,6,2,4,2,6,7,0,8,1,6,0,9,0,2,8,6,1,2,5,5,1,7,2,6,5,0,1,5,7,6,6

%N Decimal expansion of the unique real root of the Chi function.

%D Jerome Spanier and Keith B. Oldham, "Atlas of Functions", Hemisphere Publishing Corp., 1987, chapter 38, equation 38:3:2 at page 363.

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Chi.html">Chi</a>.

%e 0.52382257138986440645...

%t x0 = x /. FindRoot[ CoshIntegral[x], {x, 1}, WorkingPrecision -> 110]; RealDigits[x0][[1]][[1 ;; 105]] (* _Jean-François Alcover_, Oct 26 2012, after _Eric W. Weisstein_ *)

%K nonn,cons

%O 0,1

%A _Eric W. Weisstein_, Sep 22 2007