We consider the distribution of roots of some Catalan polynomials. And we get the following curve that the roots approach it. What kind of curve is this?

Distribution of roots of Catalan polynomials


closed as unclear what you're asking by Greg Martin, Gjergji Zaimi, Alexandre Eremenko, Max Alekseyev, Alexey Ustinov Jan 10 at 11:00

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    $\begingroup$ How are you defining Catalan polynomials? $\endgroup$ – Gjergji Zaimi Jan 9 at 2:25
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    $\begingroup$ With more details this could be an interesting question. I wouldn't want to see it closed. $\endgroup$ – Sam Hopkins Jan 9 at 4:28
  • $\begingroup$ Hi L. Mu welcome to MO. Thanks for posting this question. However, some MO users have flagged your question as "unclear what you're asking." Could you define Catalan polynomials and be specific about how you are choosing "some" in your "roots of some Catalan polynomials"? Setting your notation and normalization (if any) will hopefully lead to a more relevant answer. If the question does get closed, it would likely be a good candidate for re-opening after those questions are addressed. $\endgroup$ – Neil Hoffman Jan 9 at 20:17

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