Vol. 33 (2023)
Articles

A note on Solvable Equations including De Moivre’s quintic

M.L. Glasser
Clarkson University

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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