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11: 10.74 Methods of Computation

… ►And since there are no error terms they could, in theory, be used for all values of $z$; however, there may be severe cancellation when $|z|$ is not large compared with $n^2$. …

12: 3.3 Interpolation

… ►With an error term the Lagrange interpolation formula for $f$ is given by …

13: 13.20 Uniform Asymptotic Approximations for Large $\mu$

… ►It should be noted that (13.20.11), (13.20.16), and (13.20.18) differ only in the common error terms. Hence without the error terms the approximation holds for $-(1-\delta )\mu \le \kappa \le \mu /\delta$. …

14: 5.11 Asymptotic Expansions

… ►For the error term in (5.11.19) in the case $z=x(>0)$ and $c=1$, see Olver (1995). …

15: 10.40 Asymptotic Expansions for Large Argument

… ►For the error term in (10.40.1) see §10.40(iii). …

16: 19.9 Inequalities

… ►Ramanujan’s approximation and its leading error term yield the following approximation to $L(a,b)/(\pi (a+b))$: …

17: 2.4 Contour Integrals

… ►Thus the right-hand side of (2.4.14) reduces to the error terms. …

18: Bibliography M

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Two-point quasi-fractional approximations to the Airy function $\mathrm{Ai}(x)$ . J. Comput. Phys. 99 (2), pp. 337–340.

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Notes:

There is an error in Eq. (5): the second term in parentheses needs to be multiplied by $x$.

External Links:

ISSN 0021-9991, Document, MathReview Entry, ZentralBlatt

Referenced by:

1st item.

Encodings:

BibTeX

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Explicit error terms for asymptotic expansions of Stieltjes transforms. J. Inst. Math. Appl. 22 (2), pp. 129–145.

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External Links:

ISSN 0020-2932, Document, MathReview (G. M. Habibullah), ZentralBlatt

Referenced by:

§2.6(ii).

Encodings:

BibTeX

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19: Bibliography S

… ►

Exact error terms in the asymptotic expansion of a class of integral transforms. I. Oscillatory kernels. SIAM J. Math. Anal. 11 (5), pp. 828–841.

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External Links:

ISSN 0036-1410, Document, MathReview (John S. Lew), ZentralBlatt

Referenced by:

§2.5(ii).

Encodings:

BibTeX

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20: Bibliography B

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The Bounds for the Error Term of an Asymptotic Approximation of Jacobi Polynomials. In Orthogonal Polynomials and Their Applications (Segovia, 1986), Lecture Notes in Math., Vol. 1329, pp. 203–221.

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External Links:

MathReview (F. W. J. Olver), ZentralBlatt

Referenced by:

§18.15(i), §18.15(i).

Encodings:

BibTeX

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