OFFSET
1,1
COMMENTS
z0 is a repelling fixed point of Cos(z). The only fixed point on the real axis is 0.73908... (A003957), which is an attracting fixed point.
EXAMPLE
2.486885698908560230696957...
MATHEMATICA
z0 = FindRoot[{Re[Cos[x+I*y]]==x, Im[Cos[x+I*y]]==y}, {{x, -2}, {y, 2}}, WorkingPrecision->150]; RealDigits[z0[[1, 2]]]
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
T. D. Noe, Mar 12 2008
STATUS
approved