Associated Legendre polynomial (chart) Calculator

Calculates a table of the associated Legendre polynomial Pnm(x) and draws the chart.

The associated Legendre function Pnm(x) has several definitions.

Associated Legendre polynomial (chart)
difinition
    1. n=0,1,2,...
    1. -n≦m≦n
[ initial value x
    1. -1≦x≦1
increment
    1. repetition
    2. ]

    Associated Legendre polynomial (chart)
    [1-5] /5Disp-Num
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    [1]  2019/12/15 19:00   60 years old level or over / A teacher / A researcher / Useful /
    Purpose of use
    Bug report
    Could you please check associated legendre m=14, n=12 : there was spike at -0.8 of x-axis, which is big. Is it a bug or is it absolutely correct with wolfram ?
    from Keisan
    " Thank you for your advice.
    We've fixed it. "
    Comment/Request
    Kindly explain to me what bug was it? I think it is not a bug. Can you put back it or explain why that spike appeared?
    from Keisan
    Associated Legendre Polynomial is calculated using the hypergeometric function 2F1.
    Around x = -0.8, the result of the 2F1 was calculated wrongly and the spike appeared.
    So, we fixed it.
    [2]  2019/12/07 03:20   60 years old level or over / A teacher / A researcher / - /
    Bug report
    Could you please check associated legendre m=14, n=12 : there was spike at -0.8 of x-axis, which is big. Is it a bug or is it absolutely correct with wolfram ?
    from Keisan
    Thank you for your advice.
    We've fixed it.
    [3]  2011/09/29 18:51   20 years old level / A student / Very /
    Purpose of use
    verification of my own code.
    Comment/Request
    very much helpful.
    [4]  2010/10/06 19:30   More than 60 / A researcher / Very /
    Comment/Request
    Great site but I am trying to match your results with my own calculations which I need badly and so far there is no match. There are some discrepancies. I will have to double check everything time and again.Many thanks,
    [5]  2009/07/20 06:48   50 level / A teacher / Very /
    Purpose of use
    to learn
    Comment/Request
    it is good

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