Another approach to get derivative of odd-power

Abstract

In this manuscript, we provide and discuss another approach to get derivative of odd-power such that is based on an identity in partial derivatives in terms of polynomial function $f_y$ defined as \[ f_{y} (x, z) = \sum_{k=1}^{z} \sum_{r=0}^{y} \mathbf{A}_{y,r} k^r (x-k)^r \] where $x,z\in \mathbb{R}$, $y$ is fixed constant $y\in \mathbb{N}$ and ${\mathbf{A}}_{y,r}$ are real coefficients.

8 pages, Submitted to The Mathematical Gazette, Source code is https://github.com/kolosovpetro/AnotherApproachToGetDerivativeOfOddPower