Polygamma function Calculator

Calculates the Polygamma function Ψn(a).

Polygamma function
order n
    1.  n=-1,0,1,2,3,4
a

    Polygamma function
    [1-3] /3Disp-Num
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    [1]  2020/04/12 16:40   - / - / - /
    Bug report
    Results for polygamma(x) for negative x do not agree with those found elsewhere.

    For example, calculating polygamma(-0.9) to 26 digits.

    Another source, WolframAlpha, which uses arbitrary precision arithmetic via Mathematica, gives
    poylgamma(-0.9) = -9.3126438292999656840571051..., which can be seen here: https://www.wolframalpha.com/input/?i=Digamma%5B-0.9%5D.

    The result of this calculator is: polygamma(-0.9) = 10.025012151628085122506559...

    Hoping that it is simply a slightly different definition, but I am puzzled because for positive x the calculators agree.

    Many thanks.
    from Keisan
    Thank you for your advice.
    We've fixed it.
    [2]  2017/03/28 09:22   60 years old level or over / High-school/ University/ Grad student / Useful /
    Purpose of use
    Calculation of the influence of weak localization on electrical resistivity.
    Comment/Request
    I would like to have digamma calculation (table of data and chart). Could you kindly help me. Thank P. V.
    [3]  2009/08/10 10:50   30 level / A researcher / Very /
    Purpose of use
    Comparison.
    Comment/Request
    Nice.

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