Laplace inverse of functions involved with square roots
$begingroup$
Let $ F(s) = sqrt(s+ia)g(s) $, where $s$ is a complex number with $Re(s) >0 $. I want Laplace inverse of $F(s) $. I have tried contour integration and convolution theorem but couldn't come up with something meaningful.
laplace-transform complex-integration inverselaplace
asked Jan 6 at 16:15
Young JYoung J
11
$endgroup$
add a comment |
$begingroup$
Let $ F(s) = sqrt(s+ia)g(s) $, where $s$ is a complex number with $Re(s) >0 $. I want Laplace inverse of $F(s) $. I have tried contour integration and convolution theorem but couldn't come up with something meaningful.
laplace-transform complex-integration inverselaplace
asked Jan 6 at 16:15
Young JYoung J
11
$endgroup$
$begingroup$
What is g? Could you show your work?
$endgroup$
– Fede Poncio
Jan 6 at 16:35
add a comment |
$begingroup$
Let $ F(s) = sqrt(s+ia)g(s) $, where $s$ is a complex number with $Re(s) >0 $. I want Laplace inverse of $F(s) $. I have tried contour integration and convolution theorem but couldn't come up with something meaningful.
laplace-transform complex-integration inverselaplace
asked Jan 6 at 16:15
Young JYoung J
11
$endgroup$
Let $ F(s) = sqrt(s+ia)g(s) $, where $s$ is a complex number with $Re(s) >0 $. I want Laplace inverse of $F(s) $. I have tried contour integration and convolution theorem but couldn't come up with something meaningful.
laplace-transform complex-integration inverselaplace
laplace-transform complex-integration inverselaplace
asked Jan 6 at 16:15
Young JYoung J
11
asked Jan 6 at 16:15
Young JYoung J
11
edited Jan 6 at 16:27
Young J
asked Jan 6 at 16:15
Young JYoung J
11
asked Jan 6 at 16:15
Young JYoung J
11
asked Jan 6 at 16:15
Young JYoung J
11
11
$begingroup$
What is g? Could you show your work?
$endgroup$
– Fede Poncio
Jan 6 at 16:35
add a comment |
$begingroup$
What is g? Could you show your work?
$endgroup$
– Fede Poncio
Jan 6 at 16:35
$begingroup$
What is g? Could you show your work?
$endgroup$
– Fede Poncio
Jan 6 at 16:35
$begingroup$
What is g? Could you show your work?
$endgroup$
– Fede Poncio
Jan 6 at 16:35
add a comment |
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$begingroup$
What is g? Could you show your work?
$endgroup$
– Fede Poncio
Jan 6 at 16:35