Published 2023-03-15
Keywords
- Polynomial equation,
- quintic equation hypergeometric function,
- solvable equation
How to Cite
A note on Solvable Equations including De Moivre’s quintic. (2023). Scientia Series A: Mathematical Sciences, 33, 29-33. https://revistas.usm.cl/scientia/article/view/5
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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