Hi Folks,

I am working through a theorem involving the delta function. I have some queries in the early stages of derivation. See attached.

Thanks

Printable View

- December 5th 2010, 10:53 AMbugatti79Theorem involving delta function: proof by induction
Hi Folks,

I am working through a theorem involving the delta function. I have some queries in the early stages of derivation. See attached.

Thanks - December 8th 2010, 03:04 PMzzzoak
1. There is k -th derivative of delta function and differencial of k-th derivative

gives k+1 derivative.

2. The k-th derivative of delta function at =0.

You may think delta function being proportional to . - December 9th 2010, 10:58 AMbugatti79
- December 9th 2010, 01:14 PMzzzoak
Yes, they are treated differently.

Please look here

Delta Function -- from Wolfram MathWorld

(17) equation.

For k-th derivative we write

and k-th degree

- December 12th 2010, 02:30 AMbugatti79
- December 12th 2010, 10:37 AMzzzoak
I am not sure you have some problems with this line

- December 12th 2010, 10:41 AMbugatti79
- December 16th 2010, 10:51 AMbugatti79
(k+1)!=(k+1)k! and (-1)(-1)^k=(-1)^(k+1)

Cheers