A note on Solvable Equations including De Moivre’s quintic
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Published:
2023-01-08
Keywords:
Polynomial equation, quintic equation hypergeometric function, solvable equation
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Abstract
In this note we examine a simple algorithm for producing solvable polynomial equations and study the solutions of the quintic equation with real coefficients \[ x^{5} + 5ax^{3} + 5a^{2}x + b = 0\]
solved in radicals by De Moivre. the result is used to sum a hypergeometric series
for several arguments.
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How to Cite
Glasser, M. (2023). A note on Solvable Equations including De Moivre’s quintic. Scientia Series A: Mathematical Sciences, 33, 29-33. https://doi.org/10.71712/ayte-gd89
