Universal oscillations of high derivatives

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 461, Issue 2058, 2005, Pages 1735-1751

  Berry, M V ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

Analysis; Asymptotics; Calculus

Indexed keywords

EID: 22244445500     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2005.1446     Document Type: Article

References (6)

1. Abramowitz, M. & Stegun, I. 1972 Handbook of mathematical functions. Washington, DC: National Bureau of Standards.
2. Berry, M. V. 1987 Quantum phase corrections from adiabatic iteration. Proc. R. Soc. A 414, 31-46.
3. Dingle, R. B. 1973 Asymptotic expansions: their derivation and interpretation. Washington: Dover.
4. Farmer, D. W. & Rhoades, R. C. 2005 Differentiation evens out zero spacings. Trans. Am. Math. Soc. S0002-9947(05)03721-9.
5. Lawrence, J. D. 1972 A catalog of special plane curves. New York: Dover.
6. Wong, R. 1989 Asymptotic approximations to integrals. New York: Academic Press.