In 1985, the theory made a huge progress via an

asymptotic expansion produced by Matsuoka [21], for these constants.

The numerical solution of equation (1) is carried out with the help of

asymptotic expansion.

From this, we could obtain more terms and better error terms of the

asymptotic expansion of the expected value, the variance and higher moments.

In [14], we constructed an

asymptotic expansion of the expectation of g([x.

In [6] the author proposed to interpolate band-limited functions using PSWF, however, did not present a concrete reconstruction scheme though he did state that PWSF are mathematically intractable and presented

asymptotic expansion.

The

asymptotic expansion of the solution and the associated truncation errors have been deeply investigated in [6-8].

In a very recent study [9], using an

asymptotic expansion technique, the asymptotic equations governing unidirectional wave propagation of small-butfinite amplitude long waves in the nonlinear nonlocal elastic medium were derived.

The drawback of this can eliminate by the use of higher order terms [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] in

asymptotic expansion [24, 25].

1973 "An

Asymptotic Expansion of the Distribution of Studentized Classification Statistic" (Annals of Statistics, Vol.

Mansour [12] derived an

asymptotic expansion of the q-gamma function [[GAMMA].

Debby

asymptotic expansion of the Hankel function is written as

Also, as the frequency increases beyond a few tens of GHz for dimensions in the mm range, one needs to consider even the third order term in the

asymptotic expansion for the Green's function if faster convergence is required in the value of the propagation constant.