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

Polynomial and special function theory remains a vibrant area of mathematical research, interweaving classical algebra with advanced analysis. At its core, the study concerns algebraic expressions ...

We give explicit representations of the coefficients of p-valent functions which are polynomials of univalent functions of the class S. With their help we prove the Goodman conjecture in the special ...

We address a more general version of a classic question in probability theory. Suppose X ∼ ${\bf N}_{{\bf p}}(\mu,\Sigma)$ (μ, Σ). What functions of X also have ...