Schwarz lemma

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1: 1.10 Functions of a Complex Variable

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Schwarz Reflection Principle

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Schwarz’s Lemma

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2: 1.7 Inequalities

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Cauchy–Schwarz Inequality

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Cauchy–Schwarz Inequality

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3: 17.12 Bailey Pairs

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Weak Bailey Lemma

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Strong Bailey Lemma

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4: 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)). …

5: 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)) …

6: Bibliography G

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Superstring Theory: Introduction, Vol. 1. 2nd edition, Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge.

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External Links:

ISBN 0-521-35752-7, MathReview, ZentralBlatt

Referenced by:

§20.12(ii), 3rd item.

Encodings:

BibTeX

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Superstring Theory: Loop Amplitudes, Anomalies and Phenomenolgy, Vol. 2. 2nd edition, Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge.

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External Links:

ISBN 0-521-35753-5, MathReview, ZentralBlatt

Referenced by:

§20.12(ii).

Encodings:

BibTeX

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7: 1.8 Fourier Series

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Riemann–Lebesgue Lemma

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8: 10.11 Analytic Continuation

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9: 6.12 Asymptotic Expansions

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10: 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.

Encodings:

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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