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  • someacnt@sh.itjust.workstoScience Memes@mander.xyzFunctions
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    11 days ago

    Analyticity means the function locally behaves like (infinite-degree) polynomial. I’d say, it’s not strange that infinitely differentiable functions are not necessarily analytic - polynomials are quite restrictive, after all.

    Well, over complex plane, differentiability = infinite differentiability = analyticity, so there’s that.