I am having trouble with a problem. I would like to derive a formula for some parameters (resonance frequency, Quality factor, Wcl and Wch)

Normally, you will use a general second-order function for a second-order RLC circuit (which is easy to derive). However, my circuit is much more complex and is a third-order transfer function.

Besides, the values are just random picked.

So does anyone how to solve it? (It's actually not a homework, it's a problem which is related to a project of mine)

The circuit

The derived Transfer function

regards,

Kwoki