Riemann?Lebesgue lemma

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1: 17.12 Bailey Pairs

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Weak Bailey Lemma

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Strong Bailey Lemma

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2: 2.3 Integrals of a Real Variable

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§2.3(ii) Watson’s Lemma

… ►(In other words, differentiation of (2.3.8) with respect to the parameter $\lambda$ (or $\mu$) is legitimate.) … ►Watson’s lemma can be regarded as a special case of this result. ►For error bounds for Watson’s lemma and Laplace’s method see Boyd (1993) and Olver (1997b, Chapter 3). … ►The first result is the analog of Watson’s lemma (§2.3(ii)). …

3: 2.4 Contour Integrals

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§2.4(i) Watson’s Lemma

… ►If this integral converges uniformly at each limit for all sufficiently large $t$, then by the Riemann–Lebesgue lemma (§1.8(i)) …

4: 1.8 Fourier Series

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Riemann–Lebesgue Lemma

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5: 1.10 Functions of a Complex Variable

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Schwarz’s Lemma

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6: 6.12 Asymptotic Expansions

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7: Bibliography

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A trinomial analogue of Bailey’s lemma and $N=2$ superconformal invariance. Comm. Math. Phys. 192 (2), pp. 245–260.

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External Links:

ISSN 0010-3616, Document, MathReview (Anne Schilling), ZentralBlatt

Referenced by:

§17.12.

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BibTeX

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Bailey’s Transform, Lemma, Chains and Tree. In Special Functions 2000: Current Perspective and Future Directions (Tempe, AZ), J. Bustoz, M. E. H. Ismail, and S. K. Suslov (Eds.), NATO Sci. Ser. II Math. Phys. Chem., Vol. 30, pp. 1–22.

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External Links:

ISBN 0-7923-7119-4, MathReview, ZentralBlatt

Referenced by:

§17.12.

Encodings:

BibTeX

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8: Bibliography W

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A note on the trinomial analogue of Bailey’s lemma. J. Combin. Theory Ser. A 81 (1), pp. 114–118.

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External Links:

ISSN 0097-3165, Document, MathReview (Anne Schilling), ZentralBlatt

Referenced by:

§17.12.

Encodings:

BibTeX

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9: 7.12 Asymptotic Expansions

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10: 11.6 Asymptotic Expansions

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