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Question: How to force Maple to express the derivatives of Legendre polynomials explicitely in terms of Legendre polynomial using the relevant recurrence relations?

Question:How to force Maple to express the derivatives of Legendre polynomials explicitely in terms of Legendre polynomial using the relevant recurrence relations?

Heinrich 95 Maple
derivative recurrence legendre
March 14 2021
0

Hi,

Consider the following example:

 

>> Maple express the second derivative of Legendre polynomial as

 

This form cannot, for instance, be integrated if we set n, for example, to 2.

i was wondering whether there is a trick to force Maple to express those derivatives in term of P_n using the relevent recurrence relations. This will help for further manipulations.

 

Thanks a lot!

 

Heinrich,

 
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