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I am trying to compute modified Bessel functions of nonnegative even integer orders but with negative argument in R. However, I am drawing a blank, because the function as coded in R says it only holds for nonnegative arguments. My arguments are real, say $\mathbb{I}_{2j}(-0.24)$ and I wonder if there is a formula to get them from other values.

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  • $\begingroup$ dlmf.nist.gov/10.74 and use the fact that $I_{2n}$ is even. $\endgroup$ Sep 3, 2023 at 23:11
  • $\begingroup$ Excellent, thank you! Can you please put this up as an answer so that I may accept it. $\endgroup$ Sep 3, 2023 at 23:20

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As mentioned by A rural reader, the solution is indeed in dlmf.nist.gov/10.74 and uses the fact that $\mathbb{I}_{2n}$ is even.

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