# 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.

 difinition type Atype B n n=0,1,2,... m -n≦m≦n [ initial value x -1≦x≦1 increment repetition]
Associated Legendre polynomial (chart)
 [1-5] /5 Disp-Num5103050100200
[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
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
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
[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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