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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 6, Pages 20–30
(Mi ivm1458)
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This article is cited in 3 scientific papers (total in 3 papers)
Solution of fifth-degree equations
E. N. Mikhalkin Chair of Mathematical Analysis and Teaching Principles,
Krasnoyarsk State Pedagogical University, Krasnoyarsk, Russia
Abstract:
In this paper we establish the relationship between two approaches to the solution of algebraic fifth-degree equations, namely, the Hermite–Kronecker method (based on the modular elliptic equation) and the Mellin method (based on hypergeometric series).
Keywords:
algebraic equation, hypergeometric series.
Received: 09.04.2007 Revised: 06.03.2008
Citation:
E. N. Mikhalkin, “Solution of fifth-degree equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 6, 20–30; Russian Math. (Iz. VUZ), 53:6 (2009), 15–23
Linking options:
https://www.mathnet.ru/eng/ivm1458 https://www.mathnet.ru/eng/ivm/y2009/i6/p20
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Abstract page: | 2554 | Full-text PDF : | 2043 | References: | 167 | First page: | 53 |
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