Prime numbers, those integers divisible only by one and themselves, have fascinated mathematicians for millennia. Their ...

A University of New South Wales (UNSW) Sydney mathematician has revealed the first successful solution of an ‘impossible’ equation once considered unsolvable. Described as algebra’s oldest problem, ...

A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode. The American Mathematical Monthly , 2025; 1 DOI: 10.1080/00029890.2025.2460966 Cite This Page : ...

Most people’s experiences with polynomial equations don’t extend much further than high school algebra and the quadratic formula. Still, these numeric puzzles remain a foundational component ...

Polynomial equations involve a variable being raised to powers, such as the degree two polynomial: 1+ 4x - 3x 2 = 0. ... radicals, or functions like sine and cosine.

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers ...

and ‹ · , ·› denotes the inner product in function space L 2 ([-1, 1] × [-1, 1]).. Remark 2. This paper discusses using Chebyshev polynomials of the first kind to approximate functions on finite ...

A. BLOCH 1 recently extended to complex coefficients Lucas's method 2 of the solution of polynomial equations with the aid of an electrolytic tank. Points of the tank represent complex numbers ...

In this paper, we provide a novel generalization of quantum orthogonal polynomials from ℛ(p,q)-deformed quantum algebras introduced in earlier works. We construct related quantum Jacobi polynomials ...