Relationship between Taylor, Laurent and Fourier series

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What are your thoughts about the answer of this PhD holder in mathematics about the relationship between Laurent, Taylor (or Maclaurin) and Fourier series?

Did a textbook author made a nice mindmap (flowchart) that highlights the relationships/differences between these three kind of series? I would greatly like to do a very pedagogical illustration highlighting the relationships/differences between all of them (with Tikz for example).

Quora relationship Laurent, Fourier, Taylor series

For example, if a function has a Taylor series and a Laurent series about a point then the two coincide. Which means the function is analytic at that point.

Thanks for your feedbacks