Is transfer Function of a mathematical system unique?

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auphi
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I have gone through a mathematical modelling of a mass spring dashpot system in which if substitute differently we get different transfer functions. How does this really happen as we say Transfer function of a system is unique.
 
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Need more info. Not sure what you mean by " which if substitute differently".

Changing any parameters will change the transfer function. Mass, spring characteristes, etc.
 
Changing any of the physical parameters of the system will change only the coefficients of the transfer function; the mathematical form of the transfer function will stay the same.