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I am trying to calculate the transfer function of this circuit. Does anyone have an idea about it?

schematic

Image source: Analog Devices - Circuit Note CN-0276 - part of Figure 2. Excitation Driver and Filter Circuit (All Connections and Decoupling Not Shown)

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Does anyone have an idea about it?

It's a 2nd order multi-feedback low-pass filter followed by a single order RC low-pass filter (cut-off in your image on the right). Together they make a 3rd order low-pass filter. If you want details about the multi-feedback low-pass filter circuit try Okawa Denshi: -

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They have a tool that allows you to calculate the resistor and capacitor values to suit a particular cut-off frequency.

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