On solving general algebraic equations by integrals of elementary functions |
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| Authors: | E N Mikhalkin |
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| Institution: | (1) Krasnoyarsk State University, Krasnoyarsk, Russia |
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| Abstract: | We obtain an integral formula for a solution to a general algebraic equation. In this formula the integrand is an elementary function and integration is carried out over an interval. The advantage of this formula over the well-known Mellin formula is that the integral has a broader convergence domain. This circumstance makes it possible to describe the monodromy of a solution for trinomial equations. |
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| Keywords: | algebraic equation integral representation hypergeometric function |
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