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Derivate Bessel Function with respect to order

Dear colleagues, I have a question about the modified Bessel function of the second kind, $I_\nu(x)$ and $K_\nu(x)$. I want to know if there is any result on the derivatives with respect to the parameter $\nu$ of $I_\nu(x)$ and $K_\nu(x)$. That is I want to know where I can find some reference about $\partial_\nu I_\nu (x)$ and $\partial_\nu K_\nu (x)$.

Thank you in advance!

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marked as duplicate by S. Carnahan Jan 10 '11 at 12:53

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

your question was answered here: mathoverflow.net/questions/4019/… –  Suvrit Jan 10 '11 at 9:08

1 Answer 1

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See, for example, here. As noted in this link, further details can be found in this paper.

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Note that you can find more information by pressing the $i$ symbols on the left. –  Shai Covo Jan 9 '11 at 22:29

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