Normal distribution, but lighter tails?

Question

Mathematics

Does anyone know of any distribution that is generally similar to the normal distribution, but with lighter tails? Well, that is, to make the center fatter, and then the recession is stronger along the edges.
And it is desirable that the formula is not too complicated for ease of manipulation (integration and that's all). And then, for example, I found a generalized normal distribution , which, with certain parameters, seems to be what you need, but there is a gamma function ...

Answer 1

lognormal distribution law