Using half-normal gaussian as link function for generalized linear model

Dear Experts,

I would like to fit a mixed effects GLM to some data. My dependent variable has a half-gaussian normal distribution. I have seen that I can specify my custom link function in fitglme, but I need to specify the following parameters in addition to the distribution:

• S.Derivative — Derivative
• S.SecondDerivative — Second derivative
• S.Inverse — Inverse of link

I found that I can make a half normal distribution using makedist, but could anyone help me calculate these other parameters for a half-gaussian distribution so that I can populate S correctly?

Thank you very much.

Leonardo Tozzi