## 25 Reputation

3 years, 244 days

## @Rouben Rostamian  Thank you for yo...

@Rouben Rostamian  Thank you for your help.
One issue is how can I introduce variable  into the operator ? In your ode, there appears D, D^(2), D^(3), etc. which are not clear for me what they represent when taking the derivatives of .

## @dharr Thank you. Yes, that hint he...

@dharr Thank you.
Yes, that hint helps but I was wondering if I could find a solution in the form of  times .

## @Carl Love Yes, that is the problem...

@Carl Love Yes, that is the problem that I have and wondering how can I get rid of this issue.

Thanks a lot for your help.

## @dharr  Thank you so much. Min...

Thank you so much. Mine is 2016 and that is probably the issue. Anyway, could you please convert two hypergeom functions to given in the attached file to the LagendreP?

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## @dharr I was able to upload th...

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I was able to upload the file. Thank you.

I find on the following page where these two functions can be converted to each other. Please see equation 14.3.1 in the following page:

https://dlmf.nist.gov/14.3

But the problem is that I couldn't find value for ν in the hypergeom function F(ν+1,−ν;1−μ;1/2−1/2x) that could result in the Legendre(ν,μ,x) where x=cos($\psi$).

## @Mariusz Iwaniuk I always get a pro...

I always get a problem copy&paste from maple. Here is the link provided to the question:

https://math.stackexchange.com/questions/3254765/how-to-convert-a-hypergeom-function-to-the-legendre-function