Modified Bessel function of second kind for imaginary order for small argument

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I would like to find an expression for the first terms in the expansion of the modified Bessel function of the second kind $K_n(z)$ for $n\in i\mathbb{R}$ and $z\in \mathbb{R}$ with $z\to 0^\pm$ (I am assuming such an expansion exists).

Is anyone aware of such formulas ? Most of what I could find is for real order only.

Thanks.