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Matrix argument K Bessel functions at half integral orguments
As a working definition I will define:
$$
K_\nu^{(n)} (z) = \frac{1}{2^n}\int_{\mathcal{P}} e^{- \operatorname{tr}( y + y^{-1}) z/2} \det y^\nu d \mu(y)
$$
where $\mathcal{P}$ represents the space of …