31. This asymptotic expansion is also valid for complex instead of real " x ", with | \ arg z| 32. This limit is usually taken by asymptotic expansions of the fields of the model in powers of the interface width \ varepsilon. 33. So-called correction exponents extend these sets, they refer to higher orders of the asymptotic expansion around the critical point. 34. An asymptotic expansion is known for the median of an Erlang distribution, for which coefficients can be computed and bounds are known. 35. This function has an asymptotic expansion as " z " tends to 0 that is given by the original divergent series. 36. Apply the method of heat kernel to asymptotic expansion for Riemannian manifold ( M, g ) we obtain the two following theorems. 37. In mathematics he formulated the first version of what is now known as Stokes'theorem and contributed to the theory of asymptotic expansions . 38. Then, Laplace-Erdelyi theorem states that the asymptotic expansion of the integral " I ( ? ) " is given by 39. The general case can be solved approximately by means of an asymptotic expansion in the parameter \ varepsilon = T \ alpha ^ 2. 40. Asymptotic expansions similar to that above lead to a system of equations, which, after renaming and rescaling the variables, takes the form
