Can one hint me towards finding a general formula for(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

P_n = \prod_{x=0}^{n} \left( \sqrt{x} + i\right)

[/tex]

I need a direction because now i'm stuck with it after having struggled to formulate it.

Either the real or imaginary part would be enough but i guess i won't get one without the other. I'm working out now the term to renorm the result, i'll post it asap, it's nothing complicated.

This current formulation I made up for a geometrical problem i have :).

It is to evaluate exactly a spiral that interpolates a sequence of vertices in orthogonal triangles that you would stitch together (by hypothenuse to the variable length side of the next). I can make a drawing if necessary.

I need to sum up angles for each triangle to get a polar coordinate of the n-th vertex. Hopefully evaluable through a simple continuous function to get the in-betweens aswell.

I started with trying to work in log space but what i naturally get is a sum of arc-cosinuses that i can't find an interpolating function for...

Thanks for any hint :)

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# Finite product of complex terms

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