OFFSET
0,1
COMMENTS
Fixed point of exponential integral.
LINKS
Eric Weisstein's World of Mathematics, Exponential Integral.
Wikipedia, Exponential integral.
EXAMPLE
0.5276123472017420...
MAPLE
Digits:=101: fsolve(Ei(1, x)-x, x);
MATHEMATICA
RealDigits[FindRoot[ExpIntegralE[1, x] - x, {x, 0.5}, WorkingPrecision -> 101][[1, 2]], 10, 101][[1]]
PROG
(PARI) default(realprecision, 101); solve(x=0.5, 0.6, eint1(x)-x)
(PARI) solve(x=0.5, 0.6, -Euler()-log(x)-suminf(k=1, (-x)^k/(k*k!))-x)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Michal Paulovic, Aug 15 2023
STATUS
approved