  The evaluation of the absorption coefficients are important for particle
emission caused by Hawking radiation. In the case of cosmological particle
emission from the event horizon in De Sitter space, it is known that the scalar
wave functions are solved in terms of Legendre functions. For fields with
higher spin, the solution has been examined with low frequency approximation.
We shows that the radial equations of the fields with spin $0,1/2,1$ and $2$
can be solved analytically in terms of the hypergeometric functions. We
calculate the absorption probability using asymptotic expansion for high
frequency limit. It turns out that the absorption coefficients are universal to
all bosonic fields; They depend only on the angular momentum and not spin. In
the case of spin $1/2$ fermions, we can also find non-vanishing absorption
probability in contrast to the previously known result.
