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Dec 19, 2017 at 19:53 vote accept user118723
Dec 19, 2017 at 19:53 vote accept user118723
Dec 19, 2017 at 19:53
Dec 19, 2017 at 19:53 vote accept user118723
Dec 19, 2017 at 19:53
Dec 19, 2017 at 3:52 comment added Alexandre Eremenko @user118723: I posted a general solution. You may select those which are concave.
Dec 19, 2017 at 3:44 answer added Alexandre Eremenko timeline score: 1
Dec 19, 2017 at 3:28 answer added Somos timeline score: 1
Dec 19, 2017 at 3:23 comment added user118723 Thanks for your comment, but your solutions are not concave, as required by (1). Is it possible to construct a concave solution using trig functions like this?
Dec 19, 2017 at 2:59 comment added Alexandre Eremenko Your solutions are not the only solutions, in fact there are many, for example $\cos(x-y)=\cos x\cos y+\sin x\sin y$ ($f_3=0$). Same with $\sin(x-y)$ and there are many more.
Dec 19, 2017 at 1:02 comment added Somos I think that $u(x)$ satisfies linear recurrences with constant coefficients.
Dec 19, 2017 at 0:41 history edited user118723 CC BY-SA 3.0
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Dec 19, 2017 at 0:32 review First posts
Dec 19, 2017 at 0:59
Dec 19, 2017 at 0:32 history asked user118723 CC BY-SA 3.0