D. A. Wolfram

most citedFactoring Variants of Chebyshev Polynomials with Minimal Polynomials of

cos (\frac{2 π}{d})

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.CA2022

Change of Basis from Bernstein to Zernike

D. A. Wolfram

We increase the scope of previous work on change of basis between finite bases of polynomials by defining ascending and descending bases and introducing three techniques for defini…

math.CA2021

Change of Basis between Classical Orthogonal Polynomials

D. A. Wolfram

Classical orthogonal polynomials have widespread applications including in numerical integration, solving differential equations, and interpolation. Changing basis between classica…

math.RA2021

The Change of Basis Groupoid

D. A. Wolfram

We show that the change of basis matrices of a set of $m$ bases of a finite vector space is a connected groupoid of order $m^{2}$ . We define a general method to express the elements…

math.CA2021★ 1 cited

Factoring Variants of Chebyshev Polynomials with Minimal Polynomials of $cos (\frac{2 π}{d})$

D. A. Wolfram

We solve the problem of factoring polynomials $V_{n} (x) \pm 1$ and $W_{n} (x) \pm 1$ where $V_{n} (x)$ and $W_{n} (x)$ are Chebyshev polynomials of the third and fourth kinds. The method of p…

Change of Basis from Bernstein to Zernike

Change of Basis between Classical Orthogonal Polynomials

The Change of Basis Groupoid

Factoring Variants of Chebyshev Polynomials with Minimal Polynomials of cos(d2π​)

Factoring Variants of Chebyshev Polynomials with Minimal Polynomials of $cos (\frac{2 π}{d})$