Tutte polynomials of wheels via generating functions

‎We find an explicit expression of the Tutte polynomial of an $n$-fan‎. ‎We also find a formula of the Tutte polynomial of an $n$-wheel in terms of the Tutte polynomial of $n$-fans‎. ‎Finally‎, ‎we give an alternative expression of the Tutte polynomial of an $n$-wheel and then prove the explicit formula for the Tutte polynomial of an $n$-wheel‎.