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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Latex doesn’t format in question titles fyi – Brennan May 08 '20 at 21:42
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1"LaTeX doesn't format", what does that mean? Everything looks fine to me. – Xenusi May 08 '20 at 21:44
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disregard my comment, LaTeX doesn't appear in titles properly on the mobile version – Brennan May 09 '20 at 01:47
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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. – VARulle May 09 '20 at 12:43
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@VARulle " additively separable" What does that mean? – Xenusi May 09 '20 at 13:17
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1See here: https://economics.stackexchange.com/questions/16034/meaning-of-additively-separable-linear-in-x – VARulle May 09 '20 at 14:17