1- Prove the following relations: (1 – 2xt + t2) ag = (x - t) g(x, t) (1) at ag (1 - 2xt + t2)- = t g(x, t) ax (2) ag = (x -t) at ag (3) ax Where g(x,t) is the generating function of Legendre's polynomials
1- Prove the following relations: (1 – 2xt + t2) ag = (x - t) g(x, t) (1) at ag (1 - 2xt + t2)- = t g(x, t) ax (2) ag = (x -t) at ag (3) ax Where g(x,t) is the generating function of Legendre's polynomials
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Prove the following relations:
ag
= (x - t) g(x, t)
at
(1 – 2xt + t2)
(1)
%3D
ag
(1– 2xt + t)
=t g(x, t)
(2)
ag
ag
(x - t)
at
(3)
ax
Where g(x, t) is the generating function of Legendre's polynomials
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