asymptotic formula


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asymptotic formula

[ā‚sim′täd·ik ′fȯr·myə·lə]
(mathematics)
A statement of equality between two functions which is not a true equality but which means the ratio of the two functions approaches 1 as the variable approaches some value, usually infinity.
References in periodicals archive ?
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.
Both papers are based on an asymptotic formula (Kiderlen and Rataj, 2006), where asymptotic refers to increasing resolution of the image.
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 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.

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