Bernstein polynomial estimation provides a robust nonparametric technique for approximating both density and distribution functions. Based on the properties of Bernstein polynomials, which uniformly ...

In this paper we consider transformations of sequences of orthogonal polynomials associated with a Hermitian linear functional ℒ using spectral transformations of the corresponding C-function F ℒ . We ...

Orthogonal polynomials have long played a pivotal role in quantum mechanics, offering a robust analytic framework to address exactly solvable models. Their applications range from providing explicit ...

Abstract We give several expansion and identities involving the Ramanujan function 𝐴𝑞 and the Stieltjes–Wigert polynomials. Special values of our identities give 𝑚-versions of some of the items on ...

Polynomial equations are fundamental concepts in mathematics that define relationships between numbers and variables in a structured manner. In mathematics, various equations are composed using ...

Long considered solved, David Hilbert’s question about seventh-degree polynomials is leading researchers to a new web of mathematical connections. Success is rare in math. Just ask Benson Farb. “The ...