日本长崎国际大学学生卡【言正 微aptao168】sharp

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1: Sidebar 9.SB2: Interference Patterns in Caustics

… ►The bright sharp-edged triangle is a caustic, that is a line of focused light. …

2: Bibliography Q

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Sharp estimates for complete elliptic integrals. SIAM J. Math. Anal. 27 (3), pp. 823–834.

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External Links:

ISSN 0036-1410, Document, MathReview (G. D. Anderson), ZentralBlatt

Referenced by:

§19.9(i), §19.9(i).

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3: 8.11 Asymptotic Approximations and Expansions

… ►Sharp error bounds and an exponentially-improved extension for (8.11.7) can be found in Nemes (2016). … ►For sharp error bounds and an exponentially-improved extension, see Nemes (2016). …

4: 11.11 Asymptotic Expansions of Anger–Weber Functions

… ►For sharp error bounds and exponentially-improved extensions, see Nemes (2018). …

5: Bibliography

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Sharp bounds for the Bernoulli numbers. Arch. Math. (Basel) 74 (3), pp. 207–211.

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External Links:

ISSN 0003-889X, Document, MathReview (L. Skula), ZentralBlatt

Referenced by:

§24.9.

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6: Bibliography D

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Sharp bounds for the extreme zeros of classical orthogonal polynomials. J. Approx. Theory 162 (10), pp. 1793–1804.

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External Links:

ISSN 0021-9045, Document, FullText, MathReview (Francisco Marcellán), ZentralBlatt

Referenced by:

(18.16.12), (18.16.13), §18.16(ii), §18.16(ii), §18.16(iv).

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7: Bibliography M

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New sharp bounds for gamma and digamma functions. An. Ştiinţ. Univ. Al. I. Cuza Iaşi. Mat. (N.S.) 57 (1), pp. 57–60.

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External Links:

ISSN 1221-8421, Document, MathReview (Daniele Ritelli), ZentralBlatt

Referenced by:

§5.6(i).

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8: 1.14 Integral Transforms

… ►These bounds are sharp, and equality holds when $p=2$. …