Analog filters, whether active or passive, always follow a standard transfer function, normally in the complex s-domain alias LaPlace notation.

I was not able to find a comprehensive list of all the general transfer functions, so I decided to create one myself.

I offer it here for you to use as you wish in your personal work and designs, or to pin it on the wall, or...

If you want to use the equations in your own document, each one is available in .odf format (open document formula). PM me.

I appreciate feedback, I've carefully checked the equations for errors, but many eyes see better than just two.

**UPDATE:**

I unfortunately found a couple of errors in the first draft, so it is withdrawn.

I've redacted the original document extensively and have added sections on how to calculate magnitude and phase response of the 2^{nd} order transfer functions as well.

The band-pass and band-stop equations have been removed, as they are pretty useless in practice having only resonant responses.

A little spreadsheet is included if you want to play with gain, cutoff frequency, damping ratio etc.

Cheers.