Can we find a function which vanish at the decimals of the Liouville's constant?

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Thinking to Liouville's constant I was hoping If we can find with the decimal of the famous constant a function wich vanish at these decimals .

I found currently a very simple function wich is :

$$f\left(x\right)=\left(10^{-1!}-x\right)\left(10^{-2!}-x\right)\left(10^{-3!}-x\right)...$$

Can we find a more "sophisticated" example ?Is there bigger maths here ?

Thanks in advance .

Edit : By more "sophisticated" I mean we cannot use this "canonical" function just in adding or composing or multiplying this function with another . "Un dépaysement soudain" as Grothedieck could wrote is needed.