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    Series expansion at z=0:

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    Series expansion at z=∞:

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    Derivative:

    link to /input/?i=1%2F2+%28BesselJ%28-1%2Bn%2C+z%29-BesselJ%281%2Bn%2C+z%29%29&lk=1&a=ClashPrefs_*Math-
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    Indefinite integral:

    link to /input/?i=2%5E%28-1-n%29+z%5E%281%2Bn%29+%CE%93%28%281%2Bn%29%2F2%29+_1+F%5E%7E_2%28%281%2Bn%29%2F2%3B1%2Bn%2C+%283%2Bn%29%2F2%3B-z%5E2%2F4%29&lk=1&a=ClashPrefs_*Math-
    EnlargeEnable InteractivityDownload as CDF

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