I have seen this $u\left(x_{1}, x_{2}\right)=x_{1}+\alpha x_{2}+\beta \sqrt{x_{1} x_{2}}$ a numbers of time now. I wonder whether it is somehow special and therefore has it's own name?
Kind regards,
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$\begingroup$ Latex doesn’t format in question titles fyi $\endgroup$ – Brennan May 8 '20 at 21:42
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1$\begingroup$ "LaTeX doesn't format", what does that mean? Everything looks fine to me. $\endgroup$ – Xenusi May 8 '20 at 21:44
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$\begingroup$ disregard my comment, LaTeX doesn't appear in titles properly on the mobile version $\endgroup$ – Brennan May 9 '20 at 1:47
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$\begingroup$ For $\alpha=\beta^2/4$ it is additively separable, but other than that I wouldn't know any special property or even name for it. $\endgroup$ – VARulle May 9 '20 at 12:43
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1$\begingroup$ See here: economics.stackexchange.com/questions/16034/… $\endgroup$ – VARulle May 9 '20 at 14:17
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