Bib-lost

@Rinzwind There's no doubt that there are many reasons institutions might hesitate to switch to Linux, a lack of support and compatibility being a major one. For a governmental institution, though, I do not think resale value is generally one of them. This is just a conjecture of mine; I'm interested in hearing any experiences you might have had with this.

@Rinzwind "Cost is never an issue." OP literally stated that cost would be the main reason to switch. What is your point?

Okay, then it was indeed mostly a discussion about terminology, I thought of the Cauchy-Riemann equations as just a pair of equations on the partial derivatives. Let's hope we didn't confuse OP with these technical details.

And anyhow, even if it were true, using this theorem is overly complicating things, as I pointed out in a comment on another answer

I think*

I like we are missing each others point. I only wanted to say that just the Cauchy Riemann equations, with nothing else, is not sufficient. You agree with that, don't you?

In the article of the Looman-Menchoff theorem, exp(-z^4) is given as an example which shows that the Cauchy-Riemann equations are not sufficient.

Fair enough, but it assumes continuity of $f$ (which is not implied by the existence of partial derivatives). Also, the Looman-Menchoff theorem is far beyond the difficulty level of the question, which was clearly asked in the context of an introduction to complex analysis.

@user1952009 It clearly says on the article you send me: "If continuity is not a given, the converse is not necessarily true"

$f$ is holomorphic if and only if the Cauchy-Riemann equations are satisfied AND the partial derivatives are continuous.