I would definitely like to do some videos on associated Legendre polynomials. Right now I have a pretty long list of videos I want to make, so it may be quite a while before I get to it, but I certainly want to cover it.
He just used the binomial formula for (a + b)^n in two different ways. For the first case, he assumed a = -1 and b = x^2, and for the second case he assumed a = x^2 and b = -1. It is fairly obvious, if you understand the basics of binomial expansions.
I can get generating function for Legendre polynomials from recurrence relation but I have problems with correct expansion of this generating function G(x,t) = 1/sqrt(1-2xt+t^2) How can I expand generating function for Legendre polynomials ? I used binomial expansion twice and I have got n+k in the exponent of t and I dont know how to continue Can I shift index of outer sum I know that there are many Indian videos but in my opinion it is crap
Thanks and hope there are more follow up videos for legendre polynomial. Like associate legendre polynomial and applications
I would definitely like to do some videos on associated Legendre polynomials. Right now I have a pretty long list of videos I want to make, so it may be quite a while before I get to it, but I certainly want to cover it.
@@physicsandmathlectures3289 That's really good to hear. Keep going, I really appreciate your work!
7:30 I suspect the reason you defend these so fervently is /because/ you know its not obvious, and have no desire to put in the work.
He just used the binomial formula for (a + b)^n in two different ways. For the first case, he assumed a = -1 and b = x^2, and for the second case he assumed a = x^2 and b = -1. It is fairly obvious, if you understand the basics of binomial expansions.
Parte tres por favor, saludos desde Perú
I can get generating function for Legendre polynomials from recurrence relation but I have problems with correct expansion of this generating function
G(x,t) = 1/sqrt(1-2xt+t^2)
How can I expand generating function for Legendre polynomials ?
I used binomial expansion twice and I have got n+k in the exponent of t
and I dont know how to continue
Can I shift index of outer sum
I know that there are many Indian videos but in my opinion it is crap
Impressive! Although I got stuck in the last section of polynomial or the binomial theorem