The simplest polynomial equations, the inflection point, the recurrence equations up to degree 6, and the method of finite differences

EasyChair Preprint 4423, version 2

Abstract

This study is an extension and complementary of the Offset in Quadratics study. It determines the simplest equations for any polynomial up to 6th-degree, the inflection points equations, as well as the two possible recurrence equations. Then we describe the behavior of any polynomial under the method of finite differences.

Keyphrases: Method of finite differences, direction recurrence equation, general polynomial equation, general simplest equation, index direction, inflection point, offset study, polynomial inflection point, polynomials, recurrence equations, simplest equation

@booklet{EasyChair:4423,
  author    = {Charles Kusniec},
  title     = {The simplest polynomial equations, the inflection point, the recurrence equations up to degree 6, and the method of finite differences},
  howpublished = {EasyChair Preprint 4423},
  year      = {EasyChair, 2020}}