The higher-order squeezing and quasiprobability distribution function of even and odd coherent states are studied in this paper. The results show that the properties of higher-order squeezing of the two states exclude each other, and characteristic functions and Wigner functions are all not gaussian. Particularly, Wigner functions can not be perseved positive define. Quasiprobability density (QPD) of the two states are neither "elliptic" nor "crescent", but are two-petal-like shape, which shows that squeezing type can not be represented by the QPD figure of a state.
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