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How to find the transfer function of current H(w) = I_out(w)/I_in(w)?

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How do you find the transfer function $$H(\omega)=\frac {I_\text{out}(\omega)}{I_\text{in}(\omega)}$$ of a circuit like the below?

schematic

simulate this circuit– Schematic created using CircuitLab

I understand how to do circuits that ask for $$H(\omega) = \frac{U_\text{out}(\omega)}{U_\text{in}(\omega)}$$ as they boil down to a voltage divider relationship after doing a reduction. I have a problem of finding transfer function with the current. In this question Z_0 is the source impedance and is infinite so it is an open circuit.

Is it as simple as (R4 + L5) + (1/R1 + 1/C2 + 1/C3)? (in frequency domain ofc), I know that Z is V/I but I dont know how to use that in this case or for other circuits of type \$H(\omega) = {I_\text{out}(\omega)}/{U_\text{in}(\omega)}\$.


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