A Note on DeMoivre's Quintic Equation
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🧮 math-ph
math.MP
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equationquinticargumentscoefficientsdemoivrehypergeometricnoteradicals
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The quintic equation with real coefficients $$x^5+5ax^3+5a^2x+b=0$$ is solved in terms of radicals and the results used to sum a hypergeometric series for several arguments.
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