Given the integral
$\int_{-\infty}^{\infty} dx \;\psi(1/4+ix/2)\exp(-ax^2)$
How can I evaluate that in the limit $ a\to 0$ and $ a\to \infty$?
Here $\psi(x)$ is the digamma function.
Thanks.
Given the integral
$\int_{-\infty}^{\infty} dx \;\psi(1/4+ix/2)\exp(-ax^2)$
How can I evaluate that in the limit $ a\to 0$ and $ a\to \infty$?
Here $\psi(x)$ is the digamma function.
Thanks.