Legendre Polynomials

An introduction to Legendre Polynomials and the Legendre-Fourier Series.

[zachgeldenhuisqwerty]

The part you said "Im not going to check that" to was literally the only part I actually needed you to check...

[ramsridhar]

I like the explanation. Very concise. Thanks Professor

[mustafaawadelseed]

can you please do a video on spherical harmonics expansion

[andrewgerry]

Can you do a video on how you got the solution for when L =2 ? The rodrigues method seems pretty obnoxious compared to this

[nemurerumaboroshi]

Thanks a lot! But.. can anyone tell me where does this original differential equation come from? Why would anyone even try to solve this in 17xx? It feels like it just appears out of thin air, and then like - btw let's use it to solve Schrodinger equation...

[ahiazaa]

I'm at the 1st semester Condensed Matter of Physics, graduate student. really found this helpful before my mid exam "mathematical physics " Thank you so much

[ayeshasiddiqui]

can you upload the lengdre eq derivation of singular point then regular/irregular and then series solution and last polynomial ??

[smilesmile]

what does L=1 and L=2 mean? Does L=2 mean y=x^2?

[danielgeorge]

Thank you for this compliment to Jackson

[Skeimag]

I understand the reason behind the polynomials, but I can`t seem to find the reason _why_ you want to solve it in the first place? Or in other words, in which practical situations does the legende DE occur?

[dibakarbarman]

What is the name of the software you used? Can you please tell me.

[mdmobashshir]

And what function can't be evaluated using fourier series?

[mustafaawadelseed]

greetings from a nuclear scientist, math give you wings, thank you very much .

[giovanni]

From a first semester Nuclear Engineering graduate student, thanks a lot! 

[gooblepls]

Are you sure your Fourier series is correct? I think you're lacking either terms b_n*cos(n*pi*x/L), or a phase term in the sin. I mean, how would you represent functions f with f(0) =/= 0? I think an important point in both of these sets of base functions ({sin, cos} and {P_0(x), P_1(x), ...}) is that there have to be even and odd functions inside the set.

[Soundheaded]

I have never come across that constraint "-1<=x<=1" you put there sir. ....not even in books..it has created a confusion. please clear my doubt and will you refer any other source where thus constraint is used.?

[jameyatesmauriat]

After watching this and other mathematical videos, I know that mathematics equations needs memorizing and if you don't, you'll fail

[fardinislam]

This wouldve been a great tutorial, if your handwriting was a little understandable.

[elmridgetexas]

Your saying Legendre wrong!! That is my born last name

[srenpreisler]

how the fuck do you write the number 2? it looks like the partial derivative