Recent content by aligator123

ok but anyone can give more hints and details?

How can i solve this Fourier Transform question? Homework Statement f(t)= a/((a^2)+(t^2)) if a>0 find the Fourier transform Homework Equations Just give me a hint to solve or first step for solving. Then i will solve. The Attempt at a Solution Thanks for help.

ok i solved the problem. you can delete this post

Homework Statement f(t)=N(e^(-a(t^2))) N and a are constants Find the Fourier transform of this problem? Homework Equations http://mathworld.wolfram.com/FourierTransformGaussian.html The Attempt at a Solution http://mathworld.wolfram.com/FourierTransformGaussian.html...

i know how to write Chebyshev but it is just a mistake cause of fast typing.

Tn(x)=y (1-x^2)y" - xy' + (n^2)y=0 Am i have to solve this equation?

?

(1-xt)/(1-2xt+t^2)=sum(Tn(x)t^n) How can i prove this equation? Could you give me a hint or suggestion?

need suggestions?

any suggestions

at the last equation this equation remains Pn'(1)=t*(n+2)(n+1)/2

am i right? but after these calculation i couldn't find Pn'(1)=n(n+1)/2

\left( \begin{array}{c} -3 \\ n \end{array} \right) =(-1)^n* \left( \begin{array}{c} n+2 \\ n \end{array} \right)

(1-u)^-1/2=sum \left( \begin{array}{c} -1/2 \\ n \end{array} \right) ((-1)^n)(u^n) t*(1-2xt+t^2)^-3/2=t(1-t)^-3 u=t (1-u)^-3=sum \left( \begin{array}{c} -3 \\ n \end{array} \right) ((-1)^n)(t^n)

1/(1-2xt+t^2)=sum Pn(x)t^n d/dx1/(1-2xt+t^2)=d/dx sum Pn(x)t^n t*(1-2xt+t^2)^-3/2=SumP'n(x)t^n.