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in a certain context I had to deal with a random variable [itex]Y=e^X[/itex], whereXfollows a standard normal distribution, i.e. [itex]X\sim N(0,1)[/itex].

I had to calculate the probability density function ofY, which did not seem to be difficult, and I obtained:

[tex]f_Y(y)=\frac{e^{-\frac{1}{2} \log^2(y)}}{y\sqrt{2\pi}}[/tex]

The question is: does the above density function happen to be so well-known that it already has a name?

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# Is this density function well-known?

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