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 [4] proved the

asymptotic formulaFirstly, 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 [6] 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 [2] 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 formulaLet 1 [less than or equal to] k [less than or equal to] 9, then for any real number x > 1, we have the

asymptotic formulaThen, the following

asymptotic formula holds for all k [greater than or equal to] [k.