normal distribution formula conventions

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I sometimes see people write normal distribution formula like this, wondering if $G$ means Gaussian? And what does $C$ means here? Thanks.

$G(\mu, \sigma)$

$\exp(\mu + C(\sigma))$

thanks in advance, Lin

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I doubt there can be a definite answer unless we find the person who wrote it there and asked him or her.

I am guessing that $G$ refers to Gaussian.

Could $\mu+C(\sigma)$ be a confidence interval?

and the person might want to know what is the image of this interval under exponential map?