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Host: San Diego State University
Homepage: http://www.sci.sdsu.edu/math_cs/asymptotics2000
Organizers: T. M. Dunster, D. A. Lutz
Description:
This symposium will compose of talks in the following three categories of asymptotics and applied
analysis: difference equations, ordinary differential equations, and functions defined by integrals. The first
of these would emphasize representations for solutions in large sectors and asymptotic methods involving
special functions. Included in the second and third categories would be new results related to
exponentially-improved asymptotics and hyperasymptotics, summation of divergent solutions, connection
problems, error analysis, and applications to special functions. In all of the above three areas physical
applications would be covered under the scope of the symposium: for example new results in wave
physics (where asymptotics describes the high-frequency limit and separation of variables leads to
ordinary differential equations with a large parameter), and tunneling in quantum mechanics (where
asymptotics of certain special functions could be used in the determination of exponentially small widths
of energy bands in one-dimensional potentials).
Date received: August 29, 1999
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