  This paper is dedicated to finding the quadrature operator eigenstates and
wavefunctions of the most general $f$-deformed oscillators. A definition for
quadrature operator for deformed algebra is derived to obtain the quadrature
operator eigenstates. A new set of polynomials are obtained using this
quadrature operator and these polynomials are used to find explicitly the
wavefunctions of the deformed oscillators. We have plotted wavefunctions for
three different types of deformations and compared it with the wavefunctions of
the non-deformed oscillator. Our result will immensely help the research groups
working in the quantum state reconstruction and quantum information theory of
deformed states.
