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Asymptotic expansions of some matrix argument hypergeometric functions, with applications to macromolecules |
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| Authors: | Gaoyuan Wei and B. E. Eichinger |
| Affiliation: | (1) Department of Chemistry, BG-10, University of Washington, 98195 Seattle, WA, U.S.A.;(2) Present address: Department of Chemistry, Peking University, 100871 Beijing, China;(3) Present address: Biosym Technologies, Inc., 9685 Scranton Road, 92121 San Diego, CA, U.S.A. |
| Abstract: | We have studied the asymptotics of two special two-matrix hypergeometric functions. The validity of the asymptotic expressions for these functions is seen in several selected numerical comparisons between the exact and asymptotic results. These hypergeometric functions find applications in configuration statistics of macromolecules as well as multivariate statistics.This work was supported by grant DE-FG06-84ER45123 from the Department of Energy, U.S.A. |
| Keywords: | Asymptotics hypergeometric functions of matrix argument Wishart distribution macromolecule size and shape distribution functions |
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