Thus I ended up taking plain and solid geometry and trigonometry in the one school year, in the latter half of which we dealt with asymptotic curves and the asymptotic formula
Notice however that the same filtration by truncations at order k may also be defined when [LAMBDA] is analytic: in this case, it is not difficult to prove that we obtain the correct asymptotic formula
when taking the limit as k tends to infinity, i.
In her thesis, Ren Dongmei  proved the asymptotic formula
Firstly, the asymptotic formula
(15) is valid for x = 0.
Both papers are based on an asymptotic formula
(Kiderlen and Rataj, 2006), where asymptotic refers to increasing resolution of the image.
For example Weyl's asymptotic formula
 states that
It should be mentioned, however, that the underlying asymptotic formula
(see eqn (2.
In his recent work on the q-Gamma and q-Beta functions, Askey  has obtained analogues of several classical results about the gamma function including the Bohr-Mollerup theorem, the duplication formula and an asymptotic formula
for large x.
In Section 4 we use the asymptotic formula
to obtain that the covariance of the height fluctuation is given by the Green's function (2).
In this situation the well-known Szego asymptotic formula
Let 1 [less than or equal to] k [less than or equal to] 9, then for any real number x > 1, we have the asymptotic formula
Then, the following asymptotic formula
holds for all k [greater than or equal to] [k.