Interpretation of an article - Bessel function

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I'm trying to reproduce this article findings, which is being shared in google drive.

It treats the problem of describing a sessile and pendant drop curve by solving an ODE numerically, with fourth-order Runge-Kutta method.

The article has some notation which confused me quite a bit. So, I came to this forum seeking for advice.

This notation is in page 5, but I'm sharing it bellow: enter image description here

The confusion arrises because the authors use notation $I_0$ and defines it as the Bessel function of the second kind.

However, using Wikipedia as a reference, the Bessel function of the second kind is commonly referred as $Y_n$ or even $K_n$ if we are talking about the modified version.

enter image description here

I finish this topic asking you for help. What Bessel function should I considered when trying to reproduce the authors findings, based on the Wikipedia notation?

PS: Considering this is not a conventional post in this forums, please feel free to comment any other additional information and considerations regarding the organization of the post.