  Let (X_t, t>=0) be a Levy process started at 0, with Levy measure nu and T_x
the first hitting time of level x>0: T_x:=inf{t>=0; X_t>x}. Let $F(theta, mu,
rho,.) be the joint Laplace transform of (T_x, K_x, L_x): F(theta,mu,rho,x)
:=E(e^(-theta T_x - mu K_x \rho L_x) 1_(T_x<+infinity)), where theta>=0, mu>=0,
rho>=0, x>=0, K_x:=X_(T_x)-x and L_x:=x-X_(T_(x^-)). If we assume that nu has
finite exponential moments we exhibit an asymptotic expansion for
F(theta,mu,rho,x), as x -> +infinity. A limit theorem involving a normalization
of the triplet (T_x,K_x,L_x) as x -> +infinity, may be deduced. At last, if
nu_(|_R_+) has finite moment of fixed order, we prove that the ruin probability
P(T_x<+infinity) has at most a polynomial decay.
