- #1
Hoplite
- 51
- 0
To invert the Mellin transformed function F(s), the equation is,
[tex]f(x) = \frac{1}{2\pi i}\int_{c-i\infty}^{c+i\infty} x^{-s}F(s)ds[/tex]
What is the rule the value of c? I know that in inverse Laplace Transforms, c is any real number large enough that all the residues of F(s) lie to the left of the contour on the complex plane, but this is not necessarially the case with Mellin Transforms.
[tex]f(x) = \frac{1}{2\pi i}\int_{c-i\infty}^{c+i\infty} x^{-s}F(s)ds[/tex]
What is the rule the value of c? I know that in inverse Laplace Transforms, c is any real number large enough that all the residues of F(s) lie to the left of the contour on the complex plane, but this is not necessarially the case with Mellin Transforms.