BesselPolynomialY[6, x] - Wolfram|Alpha
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Result:

link to /input/?i=1%2B21+x%2B210+x%5E2%2B1260+x%5E3%2B4725+x%5E4%2B10395+x%5E5%2B10395+x%5E6&lk=1&a=ClashPrefs_*Math-
EnlargeEnable InteractivityDownload as CDF

Alternate form:

link to /input/?i=1%2Bx+%2821%2Bx+%28210%2Bx+%281260%2Bx+%284725%2Bx+%2810395%2B10395+x%29%29%29%29%29&lk=1&a=ClashPrefs_*Math-
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Polynomial discriminant:

link to /input/?i=-207248662456171875&lk=1&a=ClashPrefs_*Math-
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Derivative:

link to /input/?i=21+%281%2B20+x%2B180+x%5E2%2B900+x%5E3%2B2475+x%5E4%2B2970+x%5E5%29&lk=1&a=ClashPrefs_*Math-
EnlargeEnable InteractivityDownload as CDF

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