On the roots of
Author:
Costas Emmanuel Synolakis
Journal:
Quart. Appl. Math. 46 (1988), 105-107
MSC:
Primary 33A40
DOI:
https://doi.org/10.1090/qam/934685
MathSciNet review:
934685
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Abstract | References | Similar Articles | Additional Information
Abstract: The function is examined to determine its behavior in the complex plane. It is shown that
has no zeroes in the upper half plane.
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- [2] G. F. Carrier, Gravity waves of water of variable depth, J. Fluid Mech. 24, 641-659 (1966) MR 0200009
- [3] C. E. Synolakis, The runup of solitary waves, J. Fluid Mech. 185, 523-545 (1987)
- [4] G. F. Carrier and H. P. Greenspan, Water waves of finite amplitude on a sloping beach, J. Fluid Mech. 17, 97-110 (1958) MR 0096462
- [5] M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, Eighth Edition, New York; Dover Publications, 1046 pp. (1972)
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Additional Information
DOI:
https://doi.org/10.1090/qam/934685
Article copyright:
© Copyright 1988
American Mathematical Society