MHB What is Associated Legendre polynomials

Another1
Messages
39
Reaction score
0
hey
i have doubt about Legendre polynomials and Associated Legendre polynomials
what is Associated Legendre polynomials ?
It different with Legendre polynomials ?
 
Physics news on Phys.org

Thread 'A question about variables of integration'

I have the equation ##F^x=m\frac {d}{dt}(\gamma v^x)##, where ##\gamma## is the Lorentz factor, and ##x## is a superscript, not an exponent. In my textbook the solution is given as ##\frac {F^x}{m}t=\frac {v^x}{\sqrt {1-v^{x^2}/c^2}}##. What bothers me is, when I separate the variables I get ##\frac {F^x}{m}dt=d(\gamma v^x)##. Can I simply consider ##d(\gamma v^x)## the variable of integration without any further considerations? Can I simply make the substitution ##\gamma v^x = u## and then...
View full post »

Similar threads

I 1D time dependent PDE - using orthogonal collocation
  • · Replies 2 ·
Replies
2
Views
4K
I Solving an ODE with Legendre Polynomials
  • · Replies 1 ·
Replies
1
Views
2K
A Green's function for Sturm-Louiville ODE
  • · Replies 3 ·
Replies
3
Views
2K
I Determining the coefficient of the legendre polynomial
  • · Replies 2 ·
Replies
2
Views
3K
I How Does Gaussian-Legendre Quadrature Approximate Non-Polynomial Functions?
  • · Replies 2 ·
Replies
2
Views
2K
Difference between generating function and Rodrigue's formula?
  • · Replies 3 ·
Replies
3
Views
3K
A Legendre's ODE: Fundamental Solution for L = 2, 3, 4...
  • · Replies 5 ·
Replies
5
Views
2K
I Expansion of 1/|x-x'| into Legendre Polynomials
  • · Replies 1 ·
Replies
1
Views
837
A How Are Stieltjes Polynomials Related to Legendre Polynomials?
  • · Replies 12 ·
Replies
12
Views
2K
Legendre Polynomials as an Orthogonal Basis
  • · Replies 2 ·
Replies
2
Views
1K