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The Fabius function (Wikipedia and MO) which satisfies the functional; a non-differential equation $Fb'(x) = 2Fb(2x)$ (see e.g. this paper andprobabilistic description can be foundherehere) is everywhere $C^\infty$ and nowhere analytic.
The Fabius function (Wikipedia and MO) which satisfies the functional-differential equation $Fb'(x) = 2Fb(2x)$ (see e.g. this paper andhere) is everywhere $C^\infty$ and nowhere analytic.
The Fabius function (Wikipedia and MO; a non-probabilistic description can be foundhere) is everywhere $C^\infty$ and nowhere analytic.
The Fabius function (Wikipedia and MO) which solvessatisfies the functional-differential equation $Fb'(x) = 2Fb(2x)$ (see e.g. this paper and here) is everywhere $C^\infty$ and nowhere analytic.
The Fabius function (Wikipedia and MO) which solves the functional-differential equation $Fb'(x) = 2Fb(2x)$ (see e.g. this paper and here) is everywhere $C^\infty$ and nowhere analytic.
The Fabius function (Wikipedia and MO) which satisfies the functional-differential equation $Fb'(x) = 2Fb(2x)$ (see e.g. this paper and here) is everywhere $C^\infty$ and nowhere analytic.
