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I'm trying to use the DOZZ formula in Mathematica, but I'm not sure what to do about these special functions. I had hoped to use some built-in functions, or at least work with a nice series expansion, but things like the multiple gamma function seem tough to include. Have previous works on Liouville field theory used the full formula, or do they just rely on asymptotics of the upsilon function/integral representation?

May I ask if you've succeeded in implementing it in Mathematica/finding the code online?

Maybe there are all sorts of things that can help you here, I personally would recommend emailing Stephen Wolfram directly as he has been blogging about that stuff lately. Enjoy!

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